Classification of irreducible integrable highest weight modules for current Kac-Moody algebras

Rao S. Eswara; Batra Punita

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Classification of irreducible integrable highest weight modules for current Kac-Moody algebras

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摘要

This paper classifies irreducible, integrable highest weight modules for "current Kac-Moody Algebras" with finite-dimensional weight spaces. We prove that these modules turn out to be modules of appropriate direct sums of finitely many copies of Kac-Moody Lie algebras.

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来源
《Journal of algebra and its applications》 |2017年第7期|共10页
作者
Rao S. Eswara; Batra Punita;
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作者单位

Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Mumbai 400005, Maharashtra, India;

Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India;

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原文格式 PDF
正文语种英语
中图分类代数、数论、组合理论;
关键词
Integrable modules; Kac-Moody algebras; highest weight modules;

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1. Weight sets of irreducible integrable representations of kac-moody algebras of indefinite type [J] . Kaiming Zhao communications in algebra . 1996,第14期

机译：Weight sets of irreducible integrable representations of kac-moody algebras of indefinite type
2. Crystals of Lakshmibai-Seshadri paths and extremal weight modules over quantum hyperbolic Kac-Moody algebras of rank 2 [J] . Hiasa Ryuta Communications in algebra . 2022,第8期

机译：Crystals of Lakshmibai-Seshadri paths and extremal weight modules over quantum hyperbolic Kac-Moody algebras of rank 2
3. Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2 [J] . Sagaki Daisuke, Yu Dongxiao Communications in algebra . 2021,第2期

机译：Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2
4. Multi-dimensional Diffeomorphism and Current Algebras from Virasoro and Kac-Moody Currents [O] . Larsson, T. A. 2001

机译：Virasoro和Virasoro的多维微分同态与当代代数 Kac-moody Currents
5. Affine Lie Algebras and Integrable Systems [R] . Kroode, A. P. E. T. 1988

机译：affine Lie algebras和Integrable systems

Classification of irreducible integrable highest weight modules for current Kac-Moody algebras

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