Representation theory of \(p\)-adic groups and canonical bases

DOI10.1016/j.aim.2011.02.017zbMath1228.22011OpenAlexW2034316697MaRDI QIDQ533957

Henry H. Kim, Kyu-Hwan Lee

Publication date: 10 May 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.02.017

zbMATH Keywords

crystal basisspherical functioncanonical basisGindikin-KarpelevichCasselman-Shalika

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Analysis on (p)-adic Lie groups (22E35)

Related Items (9)

Description of \(\mathsf {B}(\infty)\) through Kashiwara embedding for Lie algebra types \(E_6\) and \(E_7\) ⋮ A combinatorial description of the Gindikin-Karpelevich formula in type \(A\) ⋮ Horizontal factorizations of certain Hasse-Weil zeta functions -- a remark on a paper of Taniyama ⋮ The flush statistic on semistandard Young tableaux ⋮ Character expansion of Kac-Moody correction factors ⋮ Young tableaux and crystal \(\mathcal B(\infty)\) for finite simple Lie algebras ⋮ Combinatorics of Casselman-Shalika formula in type $A$ ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Crystal graphs, Tokuyama's theorem, and the Gindikin-Karpelevič formula for \(G_{2}\)

Cites Work

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• Canonical Bases Arising from Quantized Enveloping Algebras
• Integration on $p$-adic groups and crystal bases
• Canonical Bases Arising from Quantized Enveloping Algebras. II
• Introduction to quantum groups

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