Shuffle algebra realization of quantum affine superalgebra Uv(Dˆ(2,1;θ))

Boris Feigin; Yue Hu

doi:10.1016/j.jalgebra.2021.01.008

Shuffle algebra realization of quantum affine superalgebra U_v(Dˆ(2,1;θ))

Boris Feigin, Yue Hu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Inspired by [12], we give shuffle algebra realization of positive part of quantum affine superalgebra U_v(Dˆ(2,1;θ)) associated to any simple root systems. We also determine the shuffle algebra associated to slˆ(2|1) with odd root system when v is a primitive root of unity of even order, generalizing results in [4].

Original language	English
Pages (from-to)	539-560
Number of pages	22
Journal	Journal of Algebra
Volume	573
DOIs	https://doi.org/10.1016/j.jalgebra.2021.01.008
State	Published - 1 May 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Inc.

Keywords

Drinfeld realization
Lie superalgebra
PBW bases
Quantum affine superalgebra
Shuffle algebra
Symmetric Laruent polynomials

Access to Document

10.1016/j.jalgebra.2021.01.008

Cite this

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