Non-vanishing Gram determinants for cyclotomic Nazarov–Wenzl and Birman–Murakami–Wenzl algebras

Autor:	Hebing Rui, Mei Si
Rok vydání:	2011
Předmět:	Gram determinants Pure mathematics Algebra and Number Theory Simple (abstract algebra) Field (mathematics) Cyclotomic Nazarov–Wenzl algebras Mathematics::Representation Theory Cyclotomic Birman–Murakami–Wenzl algebras Gram Mathematics
Zdroj:	Journal of Algebra. 335:188-219
ISSN:	0021-8693
Popis:	In this paper, we use the method in Rui and Si (2011) [35] to give a necessary and sufficient condition on non-vanishing Gram determinants for cyclotomic NW and cyclotomic BMW algebras over an arbitrary field. Equivalently, we give a necessary and sufficient condition for each cell module of such algebras being equal to its simple head over an arbitrary field.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9302da6d42fb60915d2425d7aa8d6c42 https://doi.org/10.1016/j.jalgebra.2011.03.016 Zobrazit plný text záznamu Full Text from ScienceDirect