LEADER 05798nam 2200697 a 450 001 9910779067003321 005 20230802004645.0 010 $a981-4340-45-6 035 $a(CKB)2550000000087620 035 $a(EBL)846110 035 $a(OCoLC)858227992 035 $a(SSID)ssj0000647338 035 $a(PQKBManifestationID)11434968 035 $a(PQKBTitleCode)TC0000647338 035 $a(PQKBWorkID)10593437 035 $a(PQKB)11247876 035 $a(MiAaPQ)EBC846110 035 $a(WSP)00008081 035 $a(Au-PeEL)EBL846110 035 $a(CaPaEBR)ebr10529380 035 $a(CaONFJC)MIL498441 035 $a(EXLCZ)992550000000087620 100 $a20120229d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantized algebra and physics$b[electronic resource] $eproceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 /$fedited by Mo-Lin Ge, Chengming Bai, Naihuan Jing 210 $aHackensack, N.J. $cWorld Scientific$d2012 215 $a1 online resource (215 p.) 225 1 $aNankai series in pure, applied mathematics and theoretical physics ;$vv. 8 300 $aDescription based upon print version of record. 311 $a981-4340-44-8 320 $aIncludes bibliographical references. 327 $aPreface; CONTENTS; Programs; A Note on Brauer-Schur Functions Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada; 1. Introduction; 2. Brauer-Schur functions; 3. Cauchy type formula; 4. Monomial expansion; References; O-Operators on Associative Algebras, Associative Yang-Baxter Equations and Dendriform Algebras Chengming Bai, Li Guo and Xiang Ni; 1. Introduction; 1.1. Rota-Baxter algebras, Yang-Baxter equations and dendriform algebras; 1.2. O-operators and layout of the paper; 2. O-operators and extended O-operators; 2.1. Bimodules and A-bimodule k-algebras; 2.2. Extended O-operators 327 $a2.2.1. O-operators2.2.2. Balanced homomorphisms; 2.2.3. Extended O-operators; 2.3. Extended O-operators, O-operators and Rota-Baxter operators: the first connection; 3. Extended O-operators and AYBE; 3.1. Extended AYBE; 3.2. From EAYBE to Extended O-operators; 3.3. From extended O-operators to EAYBE; 3.3.1. The general case; 3.3.2. The case of Frobenius algebras; 4. Antisymmetric infinitesimal bialgebras and generalized AYBE; 4.1. Antisymmetric infinitesimal bialgebras, generalized AYBE and extended O-operators; 4.2. Factorizable quasitriangular antisymmetric infinitesimal bialgebras 327 $a5. O-operators and dendriform algebras5.1. Rota-Baxter algebras and dendriform algebras; 5.2. From O-operators to dendriform algebras on the domains; 5.3. From O-operators to dendriform algebras on the ranges; 6. O-operators, Rota-Baxter operators, relative differential operators, dendriform algebras and AYBEs; 6.1. O-operators and Rota-Baxter operators: the second connection; 6.2. Relative differential operators and Rota-Baxter operators; 6.3. Characterizations of dendriform algebras in terms of bimodules and associativity; 6.4. Dendriform algebras and AYBEs; Acknowledgements; References 327 $aIrreducible Wakimoto-like Modules for the Affine Lie Algebra gln Yun Gao and Ziting Zeng1. Introduction; 2. Finite dimensional case; 3. Affine case; References; Verma Modules over Generic Exp-Polynomial Lie Algebras Xiangqian Guo, Xuewen Liu and Kaiming Zhao; 1. Introduction; 2. Main results and applications; 3. Properties on generic exp-polynomial functions; 4. Verma modules over generic exp-polynomial Lie algebras; Acknowledgments; References; A Formal Infinite Dimensional Cauchy Problem and its Relation to Integrable Hierarchies G. F. Helminck, E. A. Panasenko and A. O. Sergeeva 327 $a1. Introduction2. The finite dimensional setting; 3. The Cauchy problem: infinite dimensional case; 4. The Cauchy problem in integrable hierarchies; 4.1. Lower triangular matrices; 4.2. The Lax equations of the ( k, h 0)-hierarchy; 4.3. The zero curvature form of the hierarchy; 4.4. Wave matrices for the ( k, h 0)-hierarchy; 4.5. The relation with Cauchy problems; References; Partially Harmonic Tensors and Quantized Schur-Weyl Duality Jun Hu and Zhankui Xiao; 1. Introduction; 2. Quantized Enveloping Algebra and BMW Algebra; Acknowledgments; References 327 $aQuantum Entanglement and Approximation by Positive Matrices Xiaofen Huang and Naihuan Jing 330 $aThe book aims to survey recent developments in quantum algebras and related topics. Quantum groups were introduced by Drinfeld and Jimbo in 1985 in their work on Yang-Baxter equations. The subject from the very beginning has been an interesting one for both mathematics and theoretical physics. For example, Yangian is a special example of quantum group, corresponding to rational solution of Yang-Baxter equation. Viewed as a generalization of the symmetric group, Yangians also have close connections to algebraic combinatorics. This is the proceeding for the International Workshop on Quantized Al 410 0$aNankai series in pure, applied mathematics and theoretical physics ;$vv. 8. 606 $aQuantum groups$vCongresses 606 $aPhysics$vCongresses 606 $aQuantum theory$vCongresses 615 0$aQuantum groups 615 0$aPhysics 615 0$aQuantum theory 676 $a530.143 701 $aBai$b Chengming$01546468 701 $aGe$b M. L$g(Mo-Lin)$052157 701 $aJing$b Naihuan$066711 712 12$aInternational Workshop on Quantized Algebra and Physics 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910779067003321 996 $aQuantized algebra and physics$93810900 997 $aUNINA