Abstract
In this paper, we generalize the results of [4] by constructing an isomorphism of type B between the Hecke algebra H(WBn)(p,q) and the group algebra of WBn (Weyl group of type B). The isomorphism thus constructed is compatible with Hoefsmit's model of irreducible representations of these two algebras. Moreover, the restriction of this isomorphism to a subalgebra of H(WBn)(p,q), isomorphic to the Hecke algebra of type D, allows one to establish an analogous isomorphism between the Hecke algebra of type D and the group algebra of the Weyl group WDn.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.