Representations of affine quantum function algebras.

DOI10.1016/j.jalgebra.2003.06.002zbMath1041.17017arXivmath/0212112OpenAlexW2051665155MaRDI QIDQ1427373

Bharath Narayanan

Publication date: 14 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212112

zbMATH Keywords

irreducible representationsaffine algebrasKac-Moody Lie algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items

Representations of quantized coordinate algebras via PBW-type elements

Cites Work

• An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• The uniqueness theorem for the universal \(R\)-matrix
• Dynamical Weyl groups and applications
• The \(R\)-matrix action of untwisted affine quantum groups at roots of 1
• Kac-Moody groups, their flag varieties and representation theory
• Representations of quantum algebras
• On the mock Peter-Weyl theorem and the Drinfeld double of a double
• Introduction to quantum groups
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