On the convergence of the Kac-Moody correction factor

DOI10.1007/S00209-022-03101-9OpenAlexW3209708643MaRDI QIDQ2081416

Yan-Ze Chen

Publication date: 13 October 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12463

zbMATH Keywords

Kac-Moody algebraTits coneKac-Moody root system

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Root systems (17B22) Linear algebraic groups and related topics (20Gxx) Lie groups (22Exx)

Cites Work

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• Iwahori-Hecke algebras for \(p\)-adic loop groups
• Iwahori-Hecke algebras for Kac-Moody groups over local fields
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Invariant theory for generalized root systems
• Double affine Hecke algebras and Macdonald's conjectures
• The Poincaré series of a Coxeter group
• Correction factors for Kac-Moody groups and \(t\)-deformed root multiplicities
• Character expansion of Kac-Moody correction factors
• Metaplectic covers of Kac-Moody groups and Whittaker functions
• Affine Gindikin–Karpelevich Formula via Uhlenbeck Spaces
• An affine Gindikin-Karpelevich formula
• Unramified Whittaker functions on p-adic loop groups
• Some Conjectures for Root Systems
• Macdonald's formula for Kac–Moody groups over local fields
• Endomorphisms of linear algebraic groups

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