# Affine periplectic Brauer algebras

9 引文 斯高帕斯（Scopus）

## 摘要

We formulate Nazarov–Wenzl type algebras Pˆd for the representation theory of the periplectic Lie superalgebras p(n). We establish an Arakawa–Suzuki type functor to provide a connection between p(n)-representations and Pˆd -representations. We also consider various tensor product representations for Pˆd . The periplectic Brauer algebra Ad developed by Moon is a quotient of Pˆd . In particular, actions induced by Jucys–Murphy elements can also be recovered under the tensor product representation of Pˆd . Moreover, a Poincare–Birkhoff–Witt type basis for Pˆd is obtained. A diagram realization of Pˆd is also obtained.

原文 ???core.languages.en_GB??? 345-372 28 Journal of Algebra 501 https://doi.org/10.1016/j.jalgebra.2018.01.005 已出版 - 1 5月 2018