arXiv Analytics

Sign in

arXiv:2112.10853 [math.RT]AbstractReferencesReviewsResources

Centers of Hecke Algebras of Complex Reflection Groups

Eirini Chavli, Götz Pfeiffer

Published 2021-12-20, updated 2022-01-21Version 2

We provide a variant of the Geck--Rouquier Theorem on the center of an Iwahori--Hecke algebra, which also covers the complex case and, for some examples of complex reflection groups $W$, we compute an explicit basis of the center of the Hecke algebra of~$W$.

Comments: Example added; 13 pages
Categories: math.RT, math.GR
Subjects: 20C08, 20F55
Related articles: Most relevant | Search more
arXiv:0803.3361 [math.RT] (Published 2008-03-24)
The centers of Iwahori-Hecke algebras are filtered
arXiv:1005.5660 [math.RT] (Published 2010-05-31, updated 2011-10-20)
Irreducible Specht modules for Iwahori-Hecke algebras of type B
arXiv:math/9511222 [math.RT] (Published 1995-11-23)
Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of the complex reflection groups G(r,p,n)

Links

Toolbox