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arXiv · 2406.13562

Representations of affine Nappi-Witten Lie algebras over polynomial algebras

Priyanshu Chakraborty·Santanu Tantubay
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Abstract

In this paper, we study the representation theory of affine Nappi-Witten Lie algebra $\widehat{H_4}$ corresponding to the Nappi-Witten Lie algebra $H_4$. We completely classify all Cartan-free modules of rank one for the Nappi-Witten Lie algebra $H_4$. With the help of Cartan free $H_4$ modules we classify all Cartan-free modules of rank one over affine Nappi Witten Lie algebra. We also give a necessary and sufficient condition for these modules to be irreducible. Finally as an application we classify Cartan free modules of rank one for affine-Virasoro Nappi-Witten Lie algebras.

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BibTeXRIS

Priyanshu Chakraborty, Santanu Tantubay. 2024-06-19. Representations of affine Nappi-Witten Lie algebras over polynomial algebras. https://doi.org/10.1080/00927872.2026.2676176

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