Unitarizable highest weight representations for affine Kac-Moody algebras
J. Garcia-Escudero, M. Lorente
TL;DR
This paper reviews recent results on the unitarization of highest weight representations for affine Kac-Moody algebras, highlighting progress made following Jakobsen and Kac's foundational work.
Contribution
It synthesizes recent advancements in unitarizing highest weight representations for affine Kac-Moody algebras, building on prior foundational research.
Findings
Summarizes key results on unitarization techniques.
Highlights conditions for unitarizability of representations.
Connects recent work to Jakobsen and Kac's theories.
Abstract
The main purpose of this work is to review the results obtained recently concerning the unitarization of highest weight representations for affine Kac-Moody algebras following the work of Jakobsen and Kac.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics