Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac's book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g.
The objective of this book is to provide an understanding of the economy with its nature and structure, dominance of unorganized sector, natural resources, economic and social infrastructure, demographic features, poverty, unemployment, inequality, national income, saving and investment, role of noneconomic factors, and sources of data. India evokes many images because the country is extremely heterogeneous in its resource endowments, climate, languages, and infrastructure. India provides a rich tapestry of economic and social milieu: the 22 officially recognized languages spoken by the population, with their many dialects; the caste system; and its hoary history with its rich culture and traditions. India possesses a wide and varied resource base, although domestic sources supply only a third of the country’s oil requirements at present. India’s economic performance has attracted considerable commentary and controversy. Since 1950, India’s approach to economic development has been within the framework of a mixed economy, which has resulted from both pragmatic and political considerations. The objective of this book is to provide an understanding of the economy with its nature and structure, dominance of unorganized sector, natural resources, economic and social infrastructure, demographic features, poverty, unemployment, inequality, national income, saving and investment, role of noneconomic factors, and sources of data. Despite being a part of the eight-volume series on the Indian economy, this second volume in the series is in the nature of an introductory essay designed to provide a succinct nontechnical exposition of India’s economic structure, performance, and policies.
This book examines the very concept, history, critique, and impact on the overall economy and black money, the move toward less-cash economy and digitalization, government–RBI relations, along with an assessment of two years of demonetization. Demonetization has created a severe macroeconomic shock. The measure was humungous in scale and led to a sharp contraction in money supply for a short period. Although demonetization’s proponents have contended that it would cleanse the economy of black money and make transactions more formal and digital, its implementation certainly could have been better. The effects of demonetization on the Indian economy are debatable and will vary by sector. Its effectiveness will be talked about and studied by economists and policy makers for decades to come. Demonetization has made only a minor dent in the GDP. It has helped to bring more people into the tax net and has reduced the size of the informal economy. With the increased use of digital payments, economic transactions become recorded. This book examines the very concept, history, critique, and impact on the overall economy and black money, the move toward less-cash economy and digitalization, government–RBI relations, along with an assessment of two years of demonetization. It would be prudent for the government to focus more on proper institutional reforms to address the issues originating from demonetization.
The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers.
>This series is intended to serve as an introduction to the Indian Economy from the Post Reform of 1991.The author makes an endeavor to present how India’s economic fortunes dwindled over the centuries. This first volume begins with an analysis of the history, evolution, and growth of the Indian economy through several periods along with their positive and negative aspects. The author attempts to bring fairly interesting snapshots to highlight how the Indian economy has evolved over the years. The book provides history; traces the evolution of the economy during the early Muslim period and the Mughal Empire as well as during the British regime (1761 to 1947); and analyzes the impact of the British regime and the growth of the economy between 1947 and 1990. Points of analysis include policy framework—state and market; NITI Aayog—a think tank; the Indian polity—fiscal federalism; democracy and development; the economic policy regime prior to 1991; and economic reforms. The penultimate chapter looks at the future direction and task ahead of the economy. Finally, Indian economic thought is analyzed. There is plenty to discuss!
There is a marked awareness about the language of literature and its meaning both in Indian and Western aesthetic thinking. The aestheticians of both schools hold that the language of literature embodies a significant aspect of human experience, and represents a creative pattern of verbal structure to impart meaning effectively. Modern Western aesthetic thinking, which includes theories like formalism, new criticism, stylistics, structuralism, post-structuralism, deconstruction, discourse analysis, semiotics and dialogic criticism, in one way or another emphasizes the study of the language of literature in order to understand its meaning. Similarly, there is a distinct focus on the language of literature and its meaning in Indian literary theories which include the theory of rasa (aesthetic experience), alaṁkāra (the poetic figure), rīti (diction), dhvani (suggestion), vakrokti (oblique expression) and aucitya (propriety). This book explores how the language of literature and its meaning have been dealt with in both Indian and Western aesthetic thinking. In doing so, the study concentrates on Kuntaka’s theory of vakrokti and Ānandavardhana’s theory of dhvani in Indian aesthetic thinking and Russian formalism and deconstruction in Western thinking. The book categorically focuses on the intersection between the theory of vakrokti and Russian formalism and the meeting-point between the theory of dhvani and deconstruction.
Systematically develops the theory of Frobenius splittings and covers all its major developments. Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and examples—to cutting edge research.
Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac's book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g.
The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers.
>This series is intended to serve as an introduction to the Indian Economy from the Post Reform of 1991.The author makes an endeavor to present how India’s economic fortunes dwindled over the centuries. This first volume begins with an analysis of the history, evolution, and growth of the Indian economy through several periods along with their positive and negative aspects. The author attempts to bring fairly interesting snapshots to highlight how the Indian economy has evolved over the years. The book provides history; traces the evolution of the economy during the early Muslim period and the Mughal Empire as well as during the British regime (1761 to 1947); and analyzes the impact of the British regime and the growth of the economy between 1947 and 1990. Points of analysis include policy framework—state and market; NITI Aayog—a think tank; the Indian polity—fiscal federalism; democracy and development; the economic policy regime prior to 1991; and economic reforms. The penultimate chapter looks at the future direction and task ahead of the economy. Finally, Indian economic thought is analyzed. There is plenty to discuss!
The objective of this book is to provide an understanding of the economy with its nature and structure, dominance of unorganized sector, natural resources, economic and social infrastructure, demographic features, poverty, unemployment, inequality, national income, saving and investment, role of noneconomic factors, and sources of data. India evokes many images because the country is extremely heterogeneous in its resource endowments, climate, languages, and infrastructure. India provides a rich tapestry of economic and social milieu: the 22 officially recognized languages spoken by the population, with their many dialects; the caste system; and its hoary history with its rich culture and traditions. India possesses a wide and varied resource base, although domestic sources supply only a third of the country’s oil requirements at present. India’s economic performance has attracted considerable commentary and controversy. Since 1950, India’s approach to economic development has been within the framework of a mixed economy, which has resulted from both pragmatic and political considerations. The objective of this book is to provide an understanding of the economy with its nature and structure, dominance of unorganized sector, natural resources, economic and social infrastructure, demographic features, poverty, unemployment, inequality, national income, saving and investment, role of noneconomic factors, and sources of data. Despite being a part of the eight-volume series on the Indian economy, this second volume in the series is in the nature of an introductory essay designed to provide a succinct nontechnical exposition of India’s economic structure, performance, and policies.
This book examines the very concept, history, critique, and impact on the overall economy and black money, the move toward less-cash economy and digitalization, government–RBI relations, along with an assessment of two years of demonetization. Demonetization has created a severe macroeconomic shock. The measure was humungous in scale and led to a sharp contraction in money supply for a short period. Although demonetization’s proponents have contended that it would cleanse the economy of black money and make transactions more formal and digital, its implementation certainly could have been better. The effects of demonetization on the Indian economy are debatable and will vary by sector. Its effectiveness will be talked about and studied by economists and policy makers for decades to come. Demonetization has made only a minor dent in the GDP. It has helped to bring more people into the tax net and has reduced the size of the informal economy. With the increased use of digital payments, economic transactions become recorded. This book examines the very concept, history, critique, and impact on the overall economy and black money, the move toward less-cash economy and digitalization, government–RBI relations, along with an assessment of two years of demonetization. It would be prudent for the government to focus more on proper institutional reforms to address the issues originating from demonetization.
The agricultural sector is impacted by and impacts the society, economy, and environment. No study of the Indian economy can afford to neglect the agricultural sector. Although its share in the national product has declined, it harbors not merely half of the labor force; it has also vital supply and demand links with the manufacturing sector. This is the third volume in the series of eight such volumes. Each volume seeks to present an analysis of a specific area or sector of the Indian economy. This volume examines various aspects of India’s agricultural sector. Three of the basic foundations needed for building a sound agricultural economy are a productive technology package, efficient delivery services, and remunerative and stable market prices for produce. The federal structure of government and policies belong primarily to the realm of political economy. Policy interventions need to focus on ensuring remunerative prices for farmers, credit, supply chain, and marketing and make the farmer market ready. Though policymaking is difficult, the toolkit of good governance of agriculture becomes more important and regulations need improvement. For better policy planning, there is a need to improve upon the database on agriculture, considering that the existing data is unreliable.
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