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Non-vanishing Gram determinants for cyclotomic Nazarov–Wenzl and Birman–Murakami–Wenzl algebras
- Source :
-
Journal of Algebra . Jun2011, Vol. 335 Issue 1, p188-219. 32p. - Publication Year :
- 2011
-
Abstract
- Abstract: In this paper, we use the method in Rui and Si (2011) 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 335
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 60223633
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2011.03.016