June 25, 2024Open Access

Classification of Certain Regular Subalgebras of sl (n, C) up to Conjugacy

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Abstract

In this paper we will be classifying some regular upper-triangular subalgebras of sl (n, C) up to conjugacy by matrices in SL (n, C). We do so for dimension 2, codimension 1, and codimension 2 subalgebras. We prove some general results for codimension k. The approach we use reduces an abstract classification problem to a combinatorial one, which we solve through a mixture of inductive and computational approaches.

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Shreya Dhar (Tue,) studied this question.

synapsesocial.com/papers/68e636c5b6db6435875c8ceb https://doi.org/https://doi.org/10.48550/arxiv.2406.17833

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