Recent Developments in Quantum Affine Algebras and Related Topics

1999 Mathematics

Author : Naihuan Jing
Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 991/5 ( reviews)

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Book Synopsis Recent Developments in Quantum Affine Algebras and Related Topics by : Naihuan Jing

Download or read book Recent Developments in Quantum Affine Algebras and Related Topics written by Naihuan Jing. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Representations of Algebras and Related Topics

2011 Algebra

Author : Andrzej Skowroński
Release : 2011
Genre : Algebra
Kind : eBook
Book Rating : 019/5 ( reviews)

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Book Synopsis Representations of Algebras and Related Topics by : Andrzej Skowroński

Download or read book Representations of Algebras and Related Topics written by Andrzej Skowroński. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This book, which explores recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical field, is conceived as a handbook to provide easy access to the present state of knowledge and stimulate further development. The many topics discussed include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, and quantum loop algebras. This book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. The articles contain a large number of examples and open problems and give new perspectives for research in the field.

Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications

2010 Mathematics

Author : Yun Gao
Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 071/5 ( reviews)

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Book Synopsis Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications by : Yun Gao

Download or read book Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications written by Yun Gao. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, which was held at the Banff International Research Station, Banff, Canada, from March 2-7, 2008. Many of the papers include new results on different aspects of quantum affine algebras, extended affine Lie algebras, and their applications in other areas of mathematics and physics. Any reader interested in learning about the recent developments in quantum affine algebras and extended affine Lie algebras will benefit from this book.

Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

2022-03-11 Mathematics

Author : Jacob Greenstein
Release : 2022-03-11
Genre : Mathematics
Kind : eBook
Book Rating : 499/5 ( reviews)

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Book Synopsis Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification by : Jacob Greenstein

Download or read book Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification written by Jacob Greenstein. This book was released on 2022-03-11. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. The opening chapters are based on mini-courses given at the conference “Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification”, held on the occasion of Chari’s 60th birthday at the Catholic University of America in Washington D.C., June 2018. The chapters that follow present a broad view of the area, featuring surveys, original research, and an overview of Vyjayanthi Chari’s significant contributions. Written by distinguished experts in representation theory, a range of topics are covered, including: String diagrams and categorification Quantum affine algebras and cluster algebras Steinberg groups for Jordan pairs Dynamical quantum determinants and Pfaffians Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification will be an ideal resource for researchers in the fields of representation theory and mathematical physics.

Representation Theory of Algebraic Groups and Quantum Groups

2010-11-25 Mathematics

Author : Akihiko Gyoja
Release : 2010-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 973/5 ( reviews)

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Book Synopsis Representation Theory of Algebraic Groups and Quantum Groups by : Akihiko Gyoja

Download or read book Representation Theory of Algebraic Groups and Quantum Groups written by Akihiko Gyoja. This book was released on 2010-11-25. Available in PDF, EPUB and Kindle. Book excerpt: Invited articles by top notch experts Focus is on topics in representation theory of algebraic groups and quantum groups Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics

Popular eBooks

Recent Developments in Quantum Affine Algebras and Related Topics

Representations of Algebras and Related Topics

Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications

Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

Representation Theory of Algebraic Groups and Quantum Groups

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