Decomposition numbers of cyclotomic NW and BMW algebras

作者:Xu, Xu*
来源:Journal of Pure and Applied Algebra, 2013, 217(6): 1037-1053.
DOI:10.1016/j.jpaa.2012.09.027

摘要

Motivated by Martin and Cox-De Visscher's work Martin [18], Cox and De Visscher [5] on the decomposition matrices for Brauer algebras and walled Brauer algebras over the complex field, we give an algorithm to compute the decomposition matrices on the cyclotomic Nazarov-Wenzl algebras and cyclotomic Birman-Murakami-Wenzl algebras over the field K with some additional assumptions. Our result shows that the multiplicity-free theorem holds for such algebras.