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

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Chengming Bai
World Scientific, 2012 - Electronic books - 200 pages
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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 YangOCoBaxter 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 YangOCoBaxter 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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You won't pass your algebra reading this.

Contents

A Note on BrauerSchur Functions Kazuya Aokage Hiroshi Mizukawa and HiroFumi Yamada
1
OOperators on Associative Algebras Associative YangBaxter Equations and Dendriform Algebras Chengming Bai Li Guo and Xiang Ni
10
Irreducible Wakimotolike Modules for the Affine Lie Algebra gln Yun Gao and Ziting Zeng
52
Verma Modules over Generic ExpPolynomial Lie Algebras Xiangqian Guo Xuewen Liu and Kaiming Zhao
68
A Formal Infinite Dimensional Cauchy Problem and its Relation to Integrable Hierarchies G F Helminck E A Panasenko and A O Sergeeva
89
Partially Harmonic Tensors and Quantized SchurWeyl Duality Jun Hu and Zhankui Xiao
109
Quantum Entanglement and Approximation by Positive Matrices Xiaofen Huang and Naihuan Jing
138
2Partitions of Root Systems Bin Li William Wong and Hechun Zhang
147
A Survey on Weak Hopf Algebras Fang Li and Qinxiu Sun
166
The Equitable Presentation for the Quantum Algebra Uqfk Yan Pan Meiling Zhu and Libin Li
187
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