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• W3125987265 abstract "The space of $n times m$ complex matrices can be regarded as an algebraic variety on which the group ${bf GL}_n times {bf GL}_m$ acts. There is a rich interaction between geometry and representation theory in this example. In an important paper, de Concini, Eisenbud, and Procesi classified the equivariant ideals in the coordinate ring. More recently, we proved a noetherian result for families of equivariant modules as $n$ and $m$ vary. In this paper, we establish analogs of these results for the space of $(n|n) times (m|m)$ queer matrices with respect to the action of ${bf Q}_n times {bf Q}_m$, where ${bf Q}_n$ denotes the queer supergroup. Our work is motivated by connections to the Brauer category and the theory of twisted commutative algebras." @default.
• W3125987265 created "2021-02-01" @default.
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• W3125987265 date "2021-01-25" @default.
• W3125987265 modified "2023-09-27" @default.
• W3125987265 title "On the geometry and representation theory of queer matrices" @default.
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