Results 31 to 40 of about 542 (55)

An expansion of the Jones representation of genus 2 and the Torelli group

, 2000
We study the algebraic property of the representation of the mapping class group of a closed oriented surface of genus 2 constructed by VFR Jones [Annals of Math. 126 (1987) 335-388].
Birman, Fulton, Humphries, Lazard, Morita, Morita, Yasushi Kasahara   +6 more
core   +1 more source

Hecke algebras with unequal parameters and Vogan's left cell invariants

, 2015
In 1979, Vogan introduced a generalised $\\tau$ -invariant for characterising primitive ideals in enveloping algebras. Via a known dictionary this translates to an invariant of left cells in the sense of Kazhdan and Lusztig. Although it is not a complete
B Elias, C Bonnafé, C Bonnafé, C Bonnafé, C Bonnafé, D A Vogan Jr, D A Vogan Jr, D Barbasch, D Garfinkle, D Garfinkle, D Kazhdan, J Guilhot, J Shi, J Shi, M Geck, M Geck, M Geck, W M McGovern   +17 more
core   +3 more sources

Quasi-polynomial representations of double affine Hecke algebras

Forum of Mathematics, Sigma
We introduce an explicit family of representations of the double affine Hecke algebra $\mathbb {H}$ acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lusztig type operators.
Siddhartha Sahi, Jasper Stokman, Vidya Venkateswaran   +2 more
doaj   +1 more source

The hyperbolic formal affine Demazure algebra

, 2016
In the present paper we extend the construction of the formal (affine) Demazure algebra due to Hoffnung, Malag\'on-L\'opez, Savage and Zainoulline in two directions.
Leclerc, Marc-Antoine
core   +1 more source

Property (RD) for Hecke pairs

, 2012
As the first step towards developing noncommutative geometry over Hecke C*-algebras, we study property (RD) (Rapid Decay) for Hecke pairs. When the subgroup H in a Hecke pair (G,H) is finite, we show that the Hecke pair (G,H) has (RD) if and only if G ...
A Connes, A Connes, A Valette, B Blackadar, B Blackadar, C Antonescu, D Bump, GB Folland, IL Chatterji, J-B Bost, J-B Bost, K Tzanev, LB Schweitzer, P Harpe de la, P Jolissaint, P Jolissaint, R Ji, R Vergnioux, U Haagerup, V Lafforgue, V Lafforgue, Vahid Shirbisheh, W Arveson   +22 more
core   +1 more source

Alternating quiver Hecke algebras [PDF]

, 2015
For simply-laced quivers, we consider the fixed-point subalgebra of the quiver Hecke algebra under the homogeneous sign map. This leads to a new family of algebras we call alternating quiver Hecke algebras.
Boys, Clinton
core   +1 more source

Hecke algebra isomorphisms and adelic points on algebraic groups [PDF]

, 2015
Let $G$ denote a linear algebraic group over $\mathbf{Q}$ and $K$ and $L$ two number fields. Assume that there is a group isomorphism of points on $G$ over the finite adeles of $K$ and $L$, respectively.
Cornelissen, Gunther, Karemaker, Valentijn   +1 more
core  

Modular representations of p-adic groups

, 2002
I will survey some results in the theory of modular representations of a reductive $p$-adic group, in positive characteristic $\ell \neq p$ and $\ell=p$
Vignéras, Marie-France
core  

Encoding and control of orientation to airflow by a set of Drosophila fan-shaped body neurons. [PDF]

Elife, 2020
Currier TA, Matheson AM, Nagel KI.
europepmc   +1 more source

Relative assembly maps and the K-theory of Hecke algebras in prime characteristic. [PDF]

Math Ann
Lück W.
europepmc   +1 more source