Twisted Graded Hecke Algebras

Mathematics – Representation Theory

Scientific paper

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14 pages, submitted

Scientific paper

We generalize graded Hecke algebras to include a twisting two-cocycle for the
associated finite group. We give examples where the parameter spaces of the
resulting twisted graded Hecke algebras are larger than that of the graded
Hecke algebras. We prove that twisted graded Hecke algebras are particular
types of deformations of a crossed product.

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