Quantum affine algebras, canonical bases, and \(q\)-deformation of arithmetical functions

DOI10.2140/pjm.2012.255.393zbMath1282.17016arXiv1101.4912OpenAlexW2963881176MaRDI QIDQ429106

Henry H. Kim, Kyu-Hwan Lee

Publication date: 26 June 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4912

zbMATH Keywords

quantum affine algebrascanonical bases\(q\)-deformation of arithmetic functions

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

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A FAMILY OF GENERALIZED KAC–MOODY ALGEBRAS AND DEFORMATION OF MODULAR FORMS ⋮ The flush statistic on semistandard Young tableaux ⋮ Character expansion of Kac-Moody correction factors ⋮ Representation theory of \(p\)-adic groups and canonical bases ⋮ Combinatorics of Casselman-Shalika formula in type $A$ ⋮ Crystal graphs, Tokuyama's theorem, and the Gindikin-Karpelevič formula for \(G_{2}\)

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