O. V. Ogievetsky, L. Poulain d`Andecy. Jucys-murphy elements and representations of cyclotomic Hecke algebras


Natural Sciences / Mathematics / Algebra

Submitted on: Sep 12, 2012, 17:32:23

Description: An inductive approach to the representation theory of cyclotomic Hecke algebras, inspired by Okounkov and Vershik, is developed. We study the common spectrum of the Jucys-Murphy elements using representations of the simplest affine Hecke algebra. Representations are constructed with the help of a new associative algebra whose underlying vector space is the tensor product of the cyclotomic Hecke algebra with the free associative algebra generated by standard m-tableaux.

The abstract of this article will be published in the September 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.

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O_Ogievetsky__Jucys-Murphy_elements.pdf



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