Littelmann Patterns and Weyl Group Multiple Dirichlet Series of Type D

DOI10.1007/978-0-8176-8334-4_5zbMath1311.11042arXiv0909.4558OpenAlexW1540118939MaRDI QIDQ4915863

Gautam Chinta, Paul E. Gunnells

Publication date: 12 April 2013

Published in: Multiple Dirichlet Series, L-functions and Automorphic Forms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4558

zbMATH Keywords

crystal graphGelfand-Tsetlin patternWeyl group multiple Dirichlet seriesLittelmann pattern

Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

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The flush statistic on semistandard Young tableaux ⋮ Half-turn symmetric alternating sign matrices and Tokuyama type factorisation for orthogonal group characters ⋮ Tokuyama's identity for factorial Schur \(P\) and \(Q\) functions ⋮ Whittaker coefficients of metaplectic Eisenstein series ⋮ Combinatorics of Casselman-Shalika formula in type $A$ ⋮ On a conjecture about an analogue of Tokuyama's theorem for \(G_2\) ⋮ On the crystal graph description of the stable Weyl group multiple Dirichlet series ⋮ Crystal graphs, Tokuyama's theorem, and the Gindikin-Karpelevič formula for \(G_{2}\)

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