Quotient Algebra Partition and Cartan Decomposition for su(N) II
Mathematical Physics
2019-12-10 v1 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1912.03365,
title = {Quotient Algebra Partition and Cartan Decomposition for su(N) II},
author = {Zheng-Yao Su},
journal= {arXiv preprint arXiv:1912.03365},
year = {2019}
}