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
Permalink -

https://acuresearchbank.acu.edu.au/item/8v2v6/brauer-algebras-of-type-c

Restricted files

Publisher's version

  • 75
    total views
  • 0
    total downloads
  • 0
    views this month
  • 0
    downloads this month
These values are for the period from 19th October 2020, when this repository was created.

Export as

Related outputs

On the cellularity of the cyclotomic Birman-Murakami-Wenzl algebras
Wilcox, S. and Yu, Shona. (2012). On the cellularity of the cyclotomic Birman-Murakami-Wenzl algebras. Journal of the London Mathematical Society. 86(3), pp. 911 - 929. https://doi.org/10.1112/jlms/jds019
The cyclotomic BMW algebra associated with the two string type B braid group
Wilcox, Stewart and Yu, Shona. (2011). The cyclotomic BMW algebra associated with the two string type B braid group. Communications in Algebra. 39(11), pp. 4428 - 4446. https://doi.org/10.1080/00927872.2011.611927