Affine periplectic Brauer algebras

研究成果: 雜誌貢獻期刊論文同行評審

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???
頁(從 - 到)345-372
頁數28
期刊Journal of Algebra
501
DOIs
出版狀態已出版 - 1 5月 2018

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