Tight monomials and the monomial basis property

JOURNAL OF ALGEBRA

卷:324

Article

Deng, Bangming¹  Du, Jie² 

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

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

DOI  :  10.1016/j.jalgebra.2010.09.022

来源: Elsevier

【 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

【 授权许可】

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