Description
Book SynopsisThe 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.
Table of ContentsA Note on Brauer-Schur Functions (K Aokage et al.); O-Operators on Associative Algebras, Associative Yang-Baxter Equations and Dendriform Algebras (C-M Bai et al.); Irreducible Wakimoto-like Modules for the Affine Lie Algebra (Y Gao & Z-T Zeng); Verma Modules Over Generic Exp-Polynomial Lie Algebras (X-Q Guo et al.); Partially Harmonic Tensors and Quantized Schur-Weyl Duality (J Hu & Z-K Xiao); On Local Equivalences (N-H Jing); 2-Partitions of Root Systems (B Li et al.); A Survey on Weak Hopf Algebras (F Li & Q-X Sun); The Equitable Presentation for the Quantum Algebra (Uq(f(k)) (Y Pan et al.).
