@article{92471f19334c4f499cc73b5eba208c6d,
title = "Affine periplectic Brauer algebras",
abstract = "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.",
author = "Chen, {Chih Whi} and Peng, {Yung Ning}",
note = "Funding Information: Acknowledgments. We are grateful to Weiqiang Wang and Shun-Jen Cheng for their suggestion which triggered this collaboration, and for the crucial questions/advice they have given during this project. We thank Yongjie Wang for providing us with the references [13,14]. Chen is supported by Vergstiftelsen. Peng is partially supported by MOST grant 105-2628-M-008-004-MY4 and NCTS Young Theorist Award 2015. At almost the same time that we posted the first version of the present article, Balagovic et al. also posted [4] on the arxiv, which contains results overlapping with ours. We are grateful to Jonathan Kujawa and Vera Serganova for communication. Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",
year = "2018",
month = may,
day = "1",
doi = "10.1016/j.jalgebra.2018.01.005",
language = "English",
volume = "501",
pages = "345--372",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}