Dirac cohomology for symplectic reflection algebras
D Ciubotaru - Selecta Mathematica, 2016 - Springer
We define uniformly the notions of Dirac operators and Dirac cohomology in the framework
of the Hecke algebras introduced by Drinfeld (Anal i Prilozhen 20 (1): 69–70, 1986). We …
of the Hecke algebras introduced by Drinfeld (Anal i Prilozhen 20 (1): 69–70, 1986). We …
Spin Representations of Finite Coxeter Groups and Generalisations of Saxl's Conjecture
Y Chen, F Gu, W Osborne - arXiv preprint arXiv:2409.17540, 2024 - arxiv.org
This paper presents a natural generalisation of Saxl conjecture from a Lie-theoretical
perspective, which is verified for the exceptional types. For classical types, progress is made …
perspective, which is verified for the exceptional types. For classical types, progress is made …
[图书][B] Extensions of graded affine Hecke algebra modules
KY Chan - 2014 - search.proquest.com
In this dissertation, we study extensions of graded affine Hecke algebra modules. In
particular, based on an explicit projective resolution on graded affine Hecke algebra …
particular, based on an explicit projective resolution on graded affine Hecke algebra …
[HTML][HTML] A vanishing theorem for Dirac cohomology of standard modules
KY Chan - Advances in Mathematics, 2018 - Elsevier
This paper studies the Dirac cohomology of standard modules in the setting of graded
Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a …
Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a …
On a twisted Euler-Poincar\'e pairing for graded affine Hecke algebras
KY Chan - arXiv preprint arXiv:1407.0956, 2014 - arxiv.org
We study a twisted Euler-Poincar\'e pairing for graded affine Hecke algebras, and give a
precise connection to the twisted elliptic pairing of Weyl groups defined by Ciubotaru-He …
precise connection to the twisted elliptic pairing of Weyl groups defined by Ciubotaru-He …