Results 1 to 10 of about 922,709 (87)

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, Steven V. Sam, Andrew Snowden   +2 more
semanticscholar   +1 more source

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
semanticscholar   +1 more source

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
semanticscholar   +1 more source

From low to high-and lower-optimal regularity of the SMGTJ equation with Dirichlet and Neumann boundary control, and with point control, via explicit representation formulae

Evolution Equations and Control Theory, 2022
We consider the linear third order (in time) PDE known as the SMGTJ-equation, defined on a bounded domain, under the action of either Dirichlet or Neumann boundary control \begin{document}$ g $\end{document}.
R. Triggiani, Xiang Wan
semanticscholar   +1 more source

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
doaj   +1 more source

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, Nicholas Cooney, Simon N. Riche   +2 more
doaj   +1 more source

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
semanticscholar   +1 more source

Content systems and deformations of cyclotomic KLR algebras of type A and C [PDF]

Annals of Representation Theory, 2022
This paper initiates a systematic study of the cyclotomic KLR algebras of affine types $A$ and $C$. We start by introducing a graded deformation of these algebras and the constructing all of the irreducible representations of the deformed cyclotomic KLR ...
A. Evseev, Andrew Mathas
semanticscholar   +1 more source

Stokes posets and serpent nests [PDF]

Discrete Mathematics & Theoretical Computer Science, 2016
30 pages, 12 ...
Frédéric Chapoton
doaj   +1 more source

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
semanticscholar   +1 more source