Vladimir Shchigolev's Books

Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$

By: Aleksandr Sergeevich Kleshchëv,Vladimir Shchigolev

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Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$

By: Aleksandr Sergeevich Kleshchëv,Vladimir Shchigolev

There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which connects projective representation theory of the symmetric group and representation theory of the algebraic supergroup $Q(n)$ via appropriate Schur (super)algebras and Schur functors. The second approach follows the work of Grojnowski for classical affine and cyclotomic Hecke algebras and connects projective representation theory of symmetric groups in characteristic $p$ to the crystal graph of the basic module of the twisted affine Kac-Moody algebra of type $A_{p-1}^{(2)}$. The goal of this work is to connect the two approaches mentioned above and to obtain new branching results for projective representations of symmetric groups.

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Page Count

148

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821874314

ISBN 13

9780821874318

Intense Shock Waves on Earth and in Space

By: Vladimir Fortov

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Intense Shock Waves on Earth and in Space

By: Vladimir Fortov

This book focuses on the non-traditional branches of physics and mechanics of shock waves that have arisen recently in connection with the intensive study of these waves in a wide variety of phenomena - from nuclear matter to clusters of galaxies. The book is devoted to the various physical phenomena and properties of intense shock waves. The author addresses methods of generation, diagnostics, as well as theoretical methods for describing shock waves at extremely high pressures and temperatures in laboratory and quasi-laboratory conditions. The state of materials with high energy density generated by shock wave compression is discussed. In addition, the book aims to systematize, generalize, and describe from a universal viewpoint the extensive theoretical and experimental material on the physics of high energy densities - the physics and mechanics of intense shock waves. The book is based on lectures delivered by the author at the Moscow Institute of Physics and Technology, the Higher School of Physics of Rosatom State Nuclear Energy Corporation, as well as overviews presented at many scientific conferences and symposia. It is useful to a wide range of researchers in natural sciences, giving them access to original works and allowing them to navigate the fascinating problems of the modern science of intense shock waves.

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Page Count

388

Publisher

Springer Nature

Published Date

ISBN 10

3030748405

ISBN 13

9783030748401

Fractional Kinetics In Space: Anomalous Transport Models

By: Vladimir V Uchaikin,Renat T Sibatov

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Fractional Kinetics In Space: Anomalous Transport Models

By: Vladimir V Uchaikin,Renat T Sibatov

This book is first of its kind describing a new direction in modeling processes taking place in interplanetary and interstellar space (magnetic fields, plasma, cosmic rays, etc.). This method is based on a special mathematical analysis — fractional calculus. The reader will find in this book clear physical explanation of the fractional approach and will become familiar with basic rules in this calculus and main results obtained in frame of this approach. In spite of its profound subject, the book is not overloaded by mathematical details. It contains many illustrations, rich citation and remains accessible to a wide circle of physicists.This book is addressed to graduate and postgraduate students, young and mature researchers specializing in applications of fractional calculus, astrophysics, solar-terrestrial science and physics of cosmic rays.

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Page Count

300

Publisher

World Scientific

Published Date

ISBN 10

9813225440

ISBN 13

9789813225442

Book's by Vladimir Shchigolev

Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$

Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$

Intense Shock Waves on Earth and in Space

Intense Shock Waves on Earth and in Space

Fractional Kinetics In Space: Anomalous Transport Models

Fractional Kinetics In Space: Anomalous Transport Models

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