Affine periplectic Brauer algebras

Chih Whi Chen, Yung Ning Peng

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)345-372
Number of pages28
JournalJournal of Algebra
Publication statusPublished - 2018 May 1

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


Dive into the research topics of 'Affine periplectic Brauer algebras'. Together they form a unique fingerprint.

Cite this