Tight monomials and the monomial basis property

[摘要] We generalize a criterion for tight monomials of quantum enveloping algebras associated with symmetric generalized Cartan matrices and a monomial basis property of those associated with symmetric (classical) Cartan matrices to their respective symmetrizable case We then link the two by establishing that a tight monomial is necessarily a monomial defined by a weakly distinguished word As an application we develop an algorithm to compute all tight monomials in the rank 2 Dynkin case (C) 2010 Elsevier Inc All rights reserved

[发布日期] 2010-12-15

[关键词] Quantum enveloping algebra;Ringel-Hall algebra;Tight monomial;Canonical basis