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

arXiv
Authors: Zheng-Yao Su

Year

2019

Paper ID

14317

Status

Preprint

Abstract Read

~2 min

Abstract Words

72

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • This is the sequel exposition following [1].

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