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On the one-dimensional representations of finite \\(W\\)-superalgebras for \\(gl_M|N\\)
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Paper
On the one-dimensional representations of finite \\(W\\)-superalgebras for \\(gl_M|N\\)
2024
Overview
Let \\(g=gl_M|N(k)\\) be the general linear Lie superalgebra over an algebraically closed field \\(k\\) of characteristic zero. Fix an arbitrary even nilpotent element \\(e\\) in \\(g\\) and let \\(U(g,e)\\) be the finite \\(W\\)-superalgebra associated to the pair \\((g,e)\\). In this paper we will give a complete classification of one-dimensional representations for \\(U(g,e)\\). To achieve this, we use the tool of shifted super Yangians to determine the commutative quotients of the finite \\(W\\)-superalgebras.
Publisher
Cornell University Library, arXiv.org
Subject
