Results 1 to 10 of about 6,794,646 (104)
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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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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Applications of representation theory and of explicit units to Leopoldt’s conjecture [PDF]
Research in Number Theory, 2023 Let L/K be a Galois extension of number fields and let G=Gal(L/K)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\
Fabio Ferri, Henri Johnston
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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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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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Two boundary Hecke algebras and combinatorics of type
Annals of Representation Theory, 2018 This paper gives a Schur–Weyl duality approach to the representation theory of the affine Hecke algebras of type C with unequal parameters. The first step is to realize the affine braid group of type C k as the group of braids on k strands with two poles.
Z. Daugherty, Arun Ram
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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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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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