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arXiv · 2305.15892

On the classification of unitary highest weight modules

Pavle Pandžić·Ana Prlić·Vladimír Souček·Vít Tuček
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Abstract

In the 1980s, Enright, Howe and Wallach [EHW] and independently Jakobsen [J] gave a complete classification of the unitary highest weight modules. In this paper we give a more direct and elementary proof of the same result for the (universal covers of the) Lie groups $Sp(2n, \mathbb{R}), SO^{*}(2n)$ and $SU(p, q)$. We also show how to describe the set of unitary highest weight modules with a given infinitesimal character.

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Pavle Pandžić, Ana Prlić, Vladimír Souček, Vít Tuček. 2023-05-25. On the classification of unitary highest weight modules. https://doi.org/10.1007/s11537-026-2451-5

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