Results 11 to 20 of about 56 (39)
Homological representations of the Iwahori-Hecke algebra [PDF]
, 2004 Representations of the Iwahori-Hecke algebra of type An 1 are equivalent to representations of the braid group Bn for which the genera- tors satisfy a certain quadratic relation. We show how to construct such representations from the natural action of Bn
S. Bigelow
semanticscholar +1 more source
Hecke Algebras of Classical Type and Their Representation Type [PDF]
, 2003 The purpose of this article is to determine the representation type for all of the Hecke algebras of classical type. To do this, we combine methods from our previous work, which is used to obtain information on their Gabriel quivers, and recent advances ...
S. Ariki
semanticscholar +1 more source
ENDOSCOPY FOR HECKE CATEGORIES, CHARACTER SHEAVES AND REPRESENTATIONS
Forum of Mathematics, Pi, 2020 For a reductive group $G$ over a finite field, we show that the neutral block of its mixed Hecke category with a fixed monodromy under the torus action is monoidally equivalent to the mixed Hecke category of the corresponding endoscopic group $H$ with ...
GEORGE LUSZTIG, ZHIWEI YUN
doaj +1 more source
Support varieties and representation type of self-injective algebras [PDF]
, 2011 We use the theory of varieties for modules arising from Hochschild cohomology to give an alternative version of the wildness criterion of Bergh and Solberg [7]: If a finite dimensional self-injective algebra has a module of complexity at least 3 and ...
J. Feldvoss, S. Witherspoon
semanticscholar +1 more source
An expansion of the Jones representation of genus 2 and the Torelli group [PDF]
, 2000 We study the algebraic property of the representation of the mapping class group of a closed oriented surface of genus 2 constructed by V F R Jones (9). It arises from the Iwahori{Hecke algebra representations of Artin's braid group of 6 strings, and is ...
Yasushi Kasahara
semanticscholar +1 more source
COCENTERS OF $p$ -ADIC GROUPS, I: NEWTON DECOMPOSITION
Forum of Mathematics, Pi, 2018 In this paper, we introduce the Newton decomposition on a connected reductive $p$ -adic group $G$ . Based on it we give a nice decomposition of the cocenter of its Hecke algebra. Here we
XUHUA HE
doaj +1 more source
Forum of Mathematics, Sigma, 2018 We introduce a path theoretic framework for understanding the representation theory of (quantum) symmetric and general linear groups and their higher-level generalizations over fields of arbitrary characteristic.
C. BOWMAN, A. G. COX
doaj +1 more source
Crossed Products by Hecke Pairs
, 2018 We develop a theory of crossed products by actions of Hecke pairs (G,Γ), motivated by applications in non-abelian C∗-duality. Our approach gives back the usual crossed product construction whenever G/Γ is a group and retains many of the aspects of ...
Rui Palma
semanticscholar +1 more source
Modules universels en caractéristique naturelle pour un groupe réductif fini
, 2015 — Let k be a finite field of characteristic p, let G be the group of krational points of a connected reductive group defined over an algebraic closure Fp of k, and let U be the k-rational points of the unipotent radical of a Borel subgroup B defined over
Rachel Ollivier, V. Sécherre
semanticscholar +1 more source
Quantum wreath products and Schur–Weyl duality I
Forum of Mathematics, SigmaIn this paper, the authors introduce a new notion called the quantum wreath product, which is the algebra $B \wr _Q \mathcal {H}(d)$ produced from a given algebra B, a positive integer d and a choice $Q=(R,S,\rho ,\sigma )$ of parameters ...
Chun-Ju Lai +2 more
doaj +1 more source