### Abstract

For each n=2, we define an algebra satisfying many properties that one might expect to hold for a Brauer algebra of type C_n. 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.

Original language | English |
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Pages (from-to) | 407-426 |

Journal | Journal of Pure and Applied Algebra |

Volume | 216 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2012 |

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## Cite this

Cohen, A. M., Liu, S., & Yu, S. H. (2012). Brauer algebras of type C.

*Journal of Pure and Applied Algebra*,*216*(2), 407-426. https://doi.org/10.1016/j.jpaa.2011.07.005