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arXiv · 2311.13153

Unique Factorization For Tensor Products of Parabolic Verma Modules

K. N. Raghavan·V. Sathish Kumar·R. Venkatesh·Sankaran Viswanath
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Abstract

Let $\mathfrak{g}$ be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra $\mathfrak{h}$. We prove a unique factorization property for tensor products of parabolic Verma modules. More generally, we prove unique factorization for products of characters of parabolic Verma modules when restricted to certain subalgebras of $\mathfrak{h}$. These include fixed point subalgebras of $\mathfrak{h}$ under subgroups of diagram automorphisms of $\mathfrak{g}$ and twisted graph automorphisms in the affine case.

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BibTeXRIS

K. N. Raghavan, V. Sathish Kumar, R. Venkatesh, Sankaran Viswanath. 2023-11-22. Unique Factorization For Tensor Products of Parabolic Verma Modules. https://arxiv.org/abs/2311.13153

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