Brauer algebras of type C

Journal article


Cohen, Arjeh M., Liu, Shoumin and Yu, Shona. (2012). Brauer algebras of type C. Journal of Pure and Applied Algebra. 216(2), pp. 407 - 426. https://doi.org/10.1016/j.jpaa.2011.07.005
AuthorsCohen, Arjeh M., Liu, Shoumin and Yu, Shona
Abstract

For each n≥2, we define an algebra satisfying many properties that one might expect to hold for a Brauer algebra of type Cn. The monomials of this algebra correspond to scalar multiples of symmetric Brauer diagrams on 2n strands. The algebra is shown to be free of rank the number of such diagrams and cellular, in the sense of Graham and Lehrer.

Year2012
JournalJournal of Pure and Applied Algebra
Journal citation216 (2), pp. 407 - 426
PublisherElsevier B.V.
ISSN0022-4049
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jpaa.2011.07.005
Scopus EID2-s2.0-81155159698
Page range407 - 426
Research GroupSchool of Education
Publisher's version
File Access Level
Controlled
Place of publicationNetherlands
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