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
Authors | Cohen, Arjeh M., Liu, Shoumin and Yu, Shona |
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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. |
Year | 2012 |
Journal | Journal of Pure and Applied Algebra |
Journal citation | 216 (2), pp. 407 - 426 |
Publisher | Elsevier B.V. |
ISSN | 0022-4049 |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.jpaa.2011.07.005 |
Scopus EID | 2-s2.0-81155159698 |
Page range | 407 - 426 |
Research Group | School of Education |
Publisher's version | File Access Level Controlled |
Place of publication | Netherlands |
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