Author : Matthew David Highfield
Release : 2013
Genre : Abelian groups
Kind : eBook
Book Rating : 890/5 ( reviews)
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Book Synopsis Twisted Graded Hecke Algebras for Elementary Abelian Groups by : Matthew David Highfield
Download or read book Twisted Graded Hecke Algebras for Elementary Abelian Groups written by Matthew David Highfield. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: Twisted graded Hecke algebras were introduced by S. Witherspoon as a common generalization of graded Hecke algebras and twisted symplectic reflection algebras. In this thesis, the structure and representation theory of twisted graded Hecke algebras for elementary abelian groups are studied. Such an algebra A is finitely generated as a module over its center. Moreover, for a generic central character X, there exists a unique simple A-module on which the center acts by X.