Yangians and W algebras

被引:0
|
作者
C. Briot
E. Ragoucy
机构
[1] associée à l’Université de Savoie LAPP,Laboratoire de Physique Théorique LAPTH UMR 5108 du CNRS
来源
Physics of Atomic Nuclei | 2001年 / 64卷
关键词
Elementary Particle; Irreducible Representation;
D O I
暂无
中图分类号
学科分类号
摘要
We present a connection between W algebras and Yangians, in the case of gl(N) algebras, as well as for twisted Yangians and super-Yangians. This connection allows to construct an R matrix for the W algebras and to classify their finite-dimensional irreducible representations. We illustrate it in the framework of the nonlinear Schrödinger equation in 1+1 dimension.
引用
收藏
页码:2160 / 2166
页数:6
相关论文
共 50 条
  • [31] TWISTED YANGIANS AND MICKELSSON ALGEBRAS. II
    Nazarov, M.
    Khoroshkin, S.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2010, 21 (01) : 111 - 161
  • [32] Yangians as Pre-Lie and Tridendriform Algebras
    Doikou, Anastasia
    GEOMETRIC METHODS IN PHYSICS XL, WGMP 2022, 2024, : 233 - 250
  • [33] Theta Series for Quantum Loop Algebras and Yangians
    Zhang, Huafeng
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2024, 405 (10)
  • [34] Towards a cladistics of double Yangians and elliptic algebras
    Arnaudon, D
    Avan, J
    Frappat, L
    Ragoucy, E
    Rossi, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (36): : 6279 - 6309
  • [35] An Example of Homomorphisms from Guay's Affine Yangians to Non-rectangular W-algebras
    Ueda, Mamoru
    TRANSFORMATION GROUPS, 2023,
  • [36] VERTEX REPRESENTATIONS FOR YANGIANS OF KAC-MOODY ALGEBRAS
    Guay, Nicolas
    Regelskis, Vidas
    Wendlandt, Curtis
    JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2019, 6 : 665 - 706
  • [37] MEROMORPHIC TENSOR EQUIVALENCE FOR YANGIANS AND QUANTUM LOOP ALGEBRAS
    Gautam, Sachin
    Toledano Laredo, Valerio
    PUBLICATIONS MATHEMATIQUES DE L IHES, 2017, 125 (01): : 267 - 337
  • [38] Affine Yangians and deformed double current algebras in type A
    Guay, Nicolas
    ADVANCES IN MATHEMATICS, 2007, 211 (02) : 436 - 484
  • [39] From Twisted Quantum Loop Algebras to Twisted Yangians
    Conner, Patrick
    Guay, Nicolas
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2015, 11
  • [40] Coproduct for Yangians of affine Kac-Moody algebras
    Guay, Nicolas
    Nakajima, Hiraku
    Wendlandt, Curtis
    ADVANCES IN MATHEMATICS, 2018, 338 : 865 - 911