Naihuan Jing's Books

Recent Developments in Quantum Affine Algebras and Related Topics

Representations of Affine and Quantum Affine Algebras and Their Applications, North Carolina State University, May 21-24, 1998

By: Naihuan Jing,Kailash C. Misra

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Recent Developments in Quantum Affine Algebras and Related Topics

Representations of Affine and Quantum Affine Algebras and Their Applications, North Carolina State University, May 21-24, 1998

By: Naihuan Jing,Kailash C. Misra

This volume reflects the proceedings of the International Conference on Representations of Affine and Quantum Affine Algebras and Their Applications held at North Carolina State University (Raleigh). In recent years, the theory of affine and quantum affine Lie algebras has become an important area of mathematical research with numerous applications in other areas of mathematics and physics. Three areas of recent progress are the focus of this volume: affine and quantum affine algebras and their generalizations, vertex operator algebras and their representations, and applications in combinatorics and statistical mechanics. Talks given by leading international experts at the conference offered both overviews on the subjects and current research results. The book nicely presents the interplay of these topics recently occupying "centre stage" in the theory of infinite dimensional Lie theory.

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Page Count

482

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821811991

ISBN 13

9780821811993

Quantized Algebra and Physics

Proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009

By: Mo-Lin Ge,Chengming Bai,Naihuan Jing

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Quantized Algebra and Physics

Proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009

By: Mo-Lin Ge,Chengming Bai,Naihuan Jing

The book aims to survey recent developments in quantum algebras and related topics. Quantum groups were introduced by Drinfeld and Jimbo in 1985 in their work on Yang?Baxter equations. The subject from the very beginning has been an interesting one for both mathematics and theoretical physics. For example, Yangian is a special example of quantum group, corresponding to rational solution of Yang?Baxter equation. Viewed as a generalization of the symmetric group, Yangians also have close connections to algebraic combinatorics. This is the proceeding for the International Workshop on Quantized Algebra and Physics. The workshop aims to gather experts and young investigators from China and abroad to discuss research problems in integrable systems, conformal field theory, string theory, Lie theory, quantum groups including Yangians and their representations.

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Page Count

215

Publisher

World Scientific

Published Date

ISBN 10

9814340448

ISBN 13

9789814340441

Algebraic Combinatorics and Quantum Groups

By: Naihuan Jing

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Algebraic Combinatorics and Quantum Groups

By: Naihuan Jing

Algebraic combinatorics has evolved into one of the most active areas of mathematics. Its developments have become more interactive with not only its traditional field representation theory but also geometry, mathematical physics and harmonic analysis. This book presents articles from some of the key contributors in the area. It covers Hecke algebras, Hall algebras, the Macdonald polynomial and its deviations, and their relations with other fields.

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Page Count

171

Publisher

World Scientific

Published Date

ISBN 10

9812775404

ISBN 13

9789812775405

Book's by Naihuan Jing

Recent Developments in Quantum Affine Algebras and Related Topics

Recent Developments in Quantum Affine Algebras and Related Topics

Quantized Algebra and Physics

Quantized Algebra and Physics

Algebraic Combinatorics and Quantum Groups

Algebraic Combinatorics and Quantum Groups

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