Results 11 to 20 of about 167,193 (85)
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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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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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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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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Two first-order logics of permutations [PDF]
Journal of Combinatorial Theory, 2018 We consider two orthogonal points of view on finite permutations, seen as pairs of linear orders (corresponding to the usual one line representation of permutations as words) or seen as bijections (corresponding to the algebraic point of view).
M. Albert, M. Bouvel, Valentin Féray
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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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A construction of Coxeter group representations (II) [PDF]
, 2004 An axiomatic approach to the representation theory of Coxeter groups and their Hecke algebras was presented in [R.M. Adin, F. Brenti, Y. Roichman, A unified construction of Coxeter group representations (I), Adv. Appl.
R. Adin +2 more
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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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Representation theory of vertex operator algebras and orbifold conformal field theory [PDF]
Lie Groups, Number Theory, and Vertex
Algebras, 2020 We discuss some basic problems and conjectures in a program to construct general orbifold conformal field theories using the representation theory of vertex operator algebras. We first review a program to construct conformal field theories.
Yi-Zhi Huang
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