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arXiv · 1912.03365

Quotient Algebra Partition and Cartan Decomposition for su(N) II

Zheng-Yao Su
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Abstract

This is the sequel exposition following [1]. The framework quotient algebra partition is rephrased in the language of the s-representation. Thanks to this language, a quotient algebra partition of the simplest form is established under a minimum number of conditions governed by a bi-subalgebra of rank zero, i.e., a Cartan subalgebra. Within the framework, all Cartan subalgebras of su(N) are classified and generated recursively through the process of the subalgebra extension.

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Zheng-Yao Su. 2019-12-05. Quotient Algebra Partition and Cartan Decomposition for su(N) II. https://arxiv.org/abs/1912.03365

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