Representation theory over tropical semifield and Langlands duality
DOI10.1007/s00220-013-1705-2zbMath1323.11097arXiv1011.2462OpenAlexW2034422981MaRDI QIDQ1955825
Anton A. Gerasimov, Dimitri R. Lebedev
Publication date: 19 June 2013
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.2462
tropical geometryfield with one element\(q\)-deformed Whittaker functionShintani-Casselman-Shalika formula\(L\) factorsArchimedean arithmetic geometrylocal Langlands duality
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Topological field theories in quantum mechanics (81T45) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Related Items
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