Results 1 to 10 of about 152,042 (81)
A Hecke-equivariant decomposition of spaces of Drinfeld cusp forms via representation theory, and an investigation of its subfactors [PDF]
Research in Number Theory, 2021 There are various reasons why a naive analog of the Maeda conjecture has to fail for Drinfeld cusp forms. Focussing on double cusp forms and using the link found by Teitelbaum between Drinfeld cusp forms and certain harmonic cochains, we observed a while
Gebhard Boeckle +2 more
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On the geometry and representation theory of isomeric matrices [PDF]
Algebra & Number Theory, 2021 . The space of n × m complex matrices can be regarded as an algebraic variety on which the group GL n × GL m acts. There is a rich interaction between geometry and representation theory in this example.
Rohit Nagpal +2 more
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Extension of Whittaker functions and test vectors [PDF]
Research in Number Theory, 2017 We show that certain products of Whittaker functions and Schwartz functions on a general linear group extend to Whittaker functions on a larger general linear group. This generalizes results of Cogdell and Piatetski-Shapiro (Representation Theory, Number
R. Kurinczuk, N. Matringe
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Poly-analytic Functions and Representation Theory [PDF]
Complex Analysis and Operator Theory, 2021 We propose the Lie-algebraic interpretation of poly-analytic functions in L2(C,dμ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
A. Turbiner, N. Vasilevski
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Coxeter combinatorics for sum formulas in the representation theory of algebraic groups [PDF]
Representation Theory: An Electronic Journal of the AMS, 2021 Let G G be a simple algebraic group over an algebraically closed field F \mathbb {F} of characteristic p ≥ h p \geq h , the Coxeter number of G G .
J. Gruber
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Smooth affine group schemes over the dual numbers [PDF]
Épijournal de Géométrie Algébrique, 2019 We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
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The parabolic exotic t-structure [PDF]
Épijournal de Géométrie Algébrique, 2018 Let G be a connected reductive algebraic group over an algebraically closed field k, with simply connected derived subgroup. The exotic t-structure on the cotangent bundle of its flag variety T^*(G/B), originally introduced by Bezrukavnikov, has been a ...
Pramod N Achar +2 more
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On modular Harish-Chandra series of finite unitary groups [PDF]
Representation Theory: An Electronic Journal of the AMS, 2019 In the modular representation theory of finite unitary groups when the characteristic ℓ \ell of the ground field is a unitary prime, the s l ^
E. Norton
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Stokes posets and serpent nests [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 30 pages, 12 ...
Frédéric Chapoton
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Connecting Proof Theory and Knowledge Representation: Sequent Calculi and the Chase with Existential Rules [PDF]
International Conference on Principles of Knowledge Representation and Reasoning, 2023 Chase algorithms are indispensable in the domain of knowledge base querying, which enable the extraction of implicit knowledge from a given database via applications of rules from a given ontology.
Tim S. Lyon, Piotr Ostropolski-Nalewaja
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