Braid group action on affine Yangian

DOI10.3842/SIGMA.2019.020zbMath1481.17012arXiv1805.01621OpenAlexW2799557049MaRDI QIDQ2633038

Ryosuke Kodera

Publication date: 8 May 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01621

zbMATH Keywords

evaluation mapaffine Yangianbraid group actioncompatibility with topological Hopf algebra structure

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (7)

Affine super Yangians and rectangular W-superalgebras ⋮ The surjectivity of the evaluation map of the affine super Yangian ⋮ Affine super-Yangian and a quantum Weyl groupoid ⋮ Construction of the affine super Yangian ⋮ Enveloping algebras and geometric representation theory. Abstracts from the workshop held October 31 -- November 6, 2021 (hybrid meeting) ⋮ On Guay's evaluation map for affine Yangians ⋮ Coproduct for affine Yangians and parabolic induction for rectangular \(W\)-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Quantum groups at roots of 1
• q-Weyl group and a multiplicative formula for universal R-matrices
• Some applications of the quantum Weyl groups
• Affine Yangians and deformed double current algebras in type \(A\)
• PBW basis of quantized universal enveloping algebras
• Braid group action and quantum affine algebras
• Affine Yangian action on the Fock space
• Coproduct for Yangians of affine Kac-Moody algebras
• Homomorphisms between different quantum toroidal and affine Yangian algebras
• Weyl group extension of quantized current algebras
• Representations of twisted Yangians of types B, C, D: I
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• Introduction to quantum groups
• Quiver varieties and Yangians

This page was built for publication: Braid group action on affine Yangian