Keyword: Flat Deformations : Search

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Keyword: Flat Deformations (1)	30 Mar 2025	Run
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articleNo Access
ON REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS
- O. V. OGIEVETSKY and
- L. POULAIN D'ANDECY
Modern Physics Letters A10 Apr 2011
Preview Abstract
An approach, based on Jucys–Murphy elements, to the representation theory of cyclotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra) of the set of the Jucys–Murphy elements is established. A basis of the cyclotomic Hecke algebra is suggested; this basis is used to establish the flatness of the deformation without using the representation theory.

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