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 Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

To read the article posted on Intellectual Archive web site please click the link below.


© Shiny World Corp., 2011-2024. All rights reserved. To reach us please send an e-mail to support@IntellectualArchive.com