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arXiv · 1911.12301

The Grothendieck ring of the periplectic Lie supergroup and supersymmetric functions

Mee Seong Im·Shifra Reif·Vera Serganova
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Abstract

We show that the Grothendieck ring of finite-dimensional representations of the periplectic Lie supergroup $P(n)$ is isomorphic to the ring of symmetric polynomials in $x_1^{\pm 1}, \ldots, x_n^{\pm 1}$ whose evaluation $x_1=x_2^{-1}=t$ is independent of $t$.

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Mee Seong Im, Shifra Reif, Vera Serganova. 2019-11-22. The Grothendieck ring of the periplectic Lie supergroup and supersymmetric functions. https://arxiv.org/abs/1911.12301

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