On shifted super Yangians and a class of finite W-superalgebras

Yung Ning Peng

doi:10.1016/j.jalgebra.2014.09.015

On shifted super Yangians and a class of finite W-superalgebras

Yung Ning Peng

Department of Mathematics

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

11 Scopus citations

Abstract

Let e be an even nilpotent element, satisfying certain restrictions on its Jordan type, in a general linear Lie superalgebra. We study the finite W-superalgebra We associated to such an e, and a realization of We in terms of a quotient of a shifted super Yangian is established.

Original language	English
Pages (from-to)	520-562
Number of pages	43
Journal	Journal of Algebra
Volume	422
DOIs	https://doi.org/10.1016/j.jalgebra.2014.09.015
State	Published - 5 Jan 2015

Keywords

Finite W-algebra
Yangian

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10.1016/j.jalgebra.2014.09.015

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abstract = "Let e be an even nilpotent element, satisfying certain restrictions on its Jordan type, in a general linear Lie superalgebra. We study the finite W-superalgebra We associated to such an e, and a realization of We in terms of a quotient of a shifted super Yangian is established.",

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AU - Peng, Yung Ning

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N2 - Let e be an even nilpotent element, satisfying certain restrictions on its Jordan type, in a general linear Lie superalgebra. We study the finite W-superalgebra We associated to such an e, and a realization of We in terms of a quotient of a shifted super Yangian is established.

AB - Let e be an even nilpotent element, satisfying certain restrictions on its Jordan type, in a general linear Lie superalgebra. We study the finite W-superalgebra We associated to such an e, and a realization of We in terms of a quotient of a shifted super Yangian is established.

KW - Finite W-algebra

KW - Yangian

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U2 - 10.1016/j.jalgebra.2014.09.015

DO - 10.1016/j.jalgebra.2014.09.015

M3 - 期刊論文

AN - SCOPUS:84908591127

SN - 0021-8693

VL - 422

SP - 520

EP - 562

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On shifted super Yangians and a class of finite W-superalgebras

Abstract

Keywords

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