标题:Fusion Procedure for Cyclotomic BMW Algebras
作者:Cui, Weideng
作者机构:[Cui, Weideng] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
通讯作者:Cui, WD
通讯作者地址:[Cui, WD]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源:ALGEBRAS AND REPRESENTATION THEORY
出版年:2018
卷:21
期:3
页码:565-578
DOI:10.1007/s10468-017-9727-7
关键词:Cyclotomic BMW algebra; Cyclotomic Nazarov-Wenzl algebra; Fusion; procedure; Idempotents
摘要:In this paper, we prove that the pairwise orthogonal primitive idempotents of generic cyclotomic Birman-Murakami-Wenzl algebras can be constructed by consecutive evaluations of a certain rational function. In the Appendix, we prove a similar result for generic cyclotomic Nazarov-Wenzl algebras. A consequence of the constructions is a one-parameter family of fusion procedures for the cyclotomic Hecke algebra and its degenerate analogue.
收录类别:SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85027995968&doi=10.1007%2fs10468-017-9727-7&partnerID=40&md5=94cdb16e7cd4e5f968d29b42fc813c54
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