Results 21 to 30 of about 167,193 (85)

The semi-linear representation theory of the infinite symmetric group [PDF]

open access: yesRepresentation Theory: An Electronic Journal of the AMS, 2019
We study the category A \mathcal {A} of smooth semilinear representations of the infinite symmetric group over the field of rational functions in infinitely many variables.
Rohit Nagpal, Andrew Snowden
semanticscholar   +1 more source

Matrix orthogonal polynomials satisfying second-order differential equations: Coping without help from group representation theory

open access: yesJournal of Approximation Theory, 2007
The method developed in Duran and Grunbaum [Orthogonal matrix polynomials satisfying second order differential equations, Internat. Math. Res. Notices 10 (2004) 461-484] led us to consider polynomials that are orthogonal with respect to weight matrices W(
A. J. Durán, F. Grünbaum
semanticscholar   +1 more source

Homogeneous vector bundles over abelian varieties via representation theory [PDF]

open access: yesRepresentation Theory: An Electronic Journal of the AMS, 2018
Let A A be an abelian variety over a field. The homogeneous (or translation-invariant) vector bundles over A A form an abelian category HVec A \textrm {HVec}_A ; the ...
M. Brion
semanticscholar   +1 more source

Modular Representation Theory of Affine and Cyclotomic Yokonuma-Hecke Algebras [PDF]

open access: yesAlgebras and Representation Theory, 2019
We explore the modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras. We provide an equivalence between the category of finite dimensional representations of the affine (resp.
Weideng Cui, Jinkui Wan
semanticscholar   +2 more sources

Pitkin’s Second Way: Freeing Representation Theory from Identity

open access: yesRepresentation, 2020
Within the last decade, sociologists as well as scholars of political culture and elections have come to conclusions that should warn us about studying political interests as something that is linked to the identity of people in a group.
Mette Marie Staehr Harder
semanticscholar   +1 more source

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

open access: yesAnnals 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

Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field [PDF]

open access: yesRepresentation Theory: An Electronic Journal of the AMS, 2019
We construct new “standard modules” for the representations of general linear groups over a local non-archimedean field. The construction uses a modified Robinson–Schensted–Knuth correspondence for Zelevinsky’s multisegments.
M. Gurevich, Erez Lapid
semanticscholar   +1 more source

On the Representation Theory of some Noncrossing Partition Quantum Groups [PDF]

open access: yesAlgebras and Representation Theory, 2018
We compute the representation theory of two families of noncrossing partition quantum groups connected to amalgamated free products and free wreath products.
Amaury Freslon
semanticscholar   +1 more source

Principal series for general linear groups over finite commutative rings

open access: yes, 2017
We construct, for any finite commutative ring $R$, a family of representations of the general linear group $\mathrm{GL}_n(R)$ whose intertwining properties mirror those of the principal series for $\mathrm{GL}_n$ over a finite field.Comment: 10 ...
Brown, André EX   +11 more
core   +8 more sources

Generalized double affine Hecke algebras of higher rank [PDF]

open access: yes, 2006
We define generalized double affine Hecke algebras (GDAHA) of higher rank, attached to a non-Dynkin star-like graph D. This generalizes GDAHA of rank 1 defined in math.QA/0406480 and math.QA/0409261. If the graph is extended D4, then GDAHA is the algebra
Etingof, Pavel   +2 more
core   +1 more source

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