Classical orthogonal decomposition of a modular sln

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Publication Details

Author list: Meemark Y., Sriwongsa S.

Publisher: Elsevier

Publication year: 2024

Volume number: 228

Issue number: 11

ISSN: 0022-4049

eISSN: 1873-1376

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85193617767&doi=10.1016%2fj.jpaa.2024.107721&partnerID=40&md5=65c64a75eab519fb69b97cfdf539aeb6

Languages: English-Great Britain (EN-GB)

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Abstract

An orthogonal decomposition problem of Lie algebras over the complex numbers has been studied since the 1980s. It has many applications and relations to other areas of mathematics and sciences. In this paper, we consider this decomposition problem over a field of prime characteristic. We define a classical orthogonal decomposition of a modular Lie algebra and construct it for sln under certain sufficient conditions. Additionally, we provide more detailed analysis of the problem when n=2 and 3. © 2024 Elsevier B.V.

Keywords

Classical Cartan subalgebras, Modular Lie algebras, orthogonal decomposition