Quantized algebra and physics : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 /
Quantized algebra and physics : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 /
edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing.
- Hackensack, N.J. : World Scientific, 2012.
- 1 online resource (xiii, 200 pages) : illustrations
- Nankai series in pure, applied mathematics and theoretical physics ; v. 8 .
- Nankai series in pure, applied mathematics and theoretical physics ; v. 8. .
Includes bibliographical references.
A note on Brauer-Schur functions / Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada -- [symbol]-operators on associative algebras, associative Yang-Baxter equations and dendriform algebras / Chengming Bai, Li Guo and Xiang Ni -- Irreducible Wakimoto-like modules for the affine Lie algebra [symbol] / Yun Gao and Ziting Zeng -- Verma modules over generic exp-polynomial Lie algebras / Xiangqian Guo, Xuewen Liu and Kaiming Zhao -- A formal infinite dimensional Cauchy problem and its relation to integrable hierarchies / G.F. Helminck, E.A. Panasenko and A.O. Sergeeva -- Partially harmonic tensors and quantized Schur-Weyl duality / Jun Hu and Zhankui Xiao -- Quantum entanglement and approximation by positive matrices / Xiaofen Huang and Naihuan Jing -- 2-partitions of root systems / Bin Li, William Wong and Hechun Zhang -- A survey on weak Hopf algebras / Fang Li and Qinxiu Sun -- The equitable presentation for the quantum algebra Uq(f(k)) / Yan Pan, Meiling Zhu and Libin Li.
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.
9789814340458 9814340456
GBB110587 bnb
015735619 Uk
Quantum groups--Congresses.
Physics--Congresses.
Quantum theory--Congresses.
Groupes quantiques--Congrès.
Physique--Congrès.
Théorie quantique--Congrès.
SCIENCE--Waves & Wave Mechanics.
Physics
Quantum groups
Quantum theory
Conference papers and proceedings
QC20.7.G76 / I58 2009eb
530.143
Includes bibliographical references.
A note on Brauer-Schur functions / Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada -- [symbol]-operators on associative algebras, associative Yang-Baxter equations and dendriform algebras / Chengming Bai, Li Guo and Xiang Ni -- Irreducible Wakimoto-like modules for the affine Lie algebra [symbol] / Yun Gao and Ziting Zeng -- Verma modules over generic exp-polynomial Lie algebras / Xiangqian Guo, Xuewen Liu and Kaiming Zhao -- A formal infinite dimensional Cauchy problem and its relation to integrable hierarchies / G.F. Helminck, E.A. Panasenko and A.O. Sergeeva -- Partially harmonic tensors and quantized Schur-Weyl duality / Jun Hu and Zhankui Xiao -- Quantum entanglement and approximation by positive matrices / Xiaofen Huang and Naihuan Jing -- 2-partitions of root systems / Bin Li, William Wong and Hechun Zhang -- A survey on weak Hopf algebras / Fang Li and Qinxiu Sun -- The equitable presentation for the quantum algebra Uq(f(k)) / Yan Pan, Meiling Zhu and Libin Li.
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.
9789814340458 9814340456
GBB110587 bnb
015735619 Uk
Quantum groups--Congresses.
Physics--Congresses.
Quantum theory--Congresses.
Groupes quantiques--Congrès.
Physique--Congrès.
Théorie quantique--Congrès.
SCIENCE--Waves & Wave Mechanics.
Physics
Quantum groups
Quantum theory
Conference papers and proceedings
QC20.7.G76 / I58 2009eb
530.143