Non-standard Verma type modules for $\mathfrak{q}(n)^{(2)}$

Lucas Calixto; Vyacheslav Futorny

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arXiv · 1902.03512

Non-standard Verma type modules for $\mathfrak{q}(n)^{(2)}$

Lucas Calixto·Vyacheslav Futorny

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Abstract

We study non-standard Verma type modules over the Kac-Moody queer Lie superalgebra $\mathfrak{q}(n)^{(2)}$. We give a sufficient condition under which such modules are irreducible. We also give a classification of all irreducible diagonal $\mathbb{Z}$-graded modules over certain Heisenberg Lie superalgebras contained in $\mathfrak{q}(n)^{(2)}$.

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BibTeX RIS

Lucas Calixto, Vyacheslav Futorny. 2019-02-09. Non-standard Verma type modules for $\mathfrak{q}(n)^{(2)}$. https://arxiv.org/abs/1902.03512

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