A construction of generators of $Z(\mathfrak{so}_{n})$
Representation Theory
2013-12-23 v1
Abstract
We construct generators of the center of the universal enveloping algebra of the complex orthogonal Lie algebra realized as the alternative matrices of size . These elements are constructed in accordance with the Iwasawa decomposition of the real rank one indefinite orthogonal Lie algebra. We also discuss the Iwasawa decomposition of the Pfaffian.
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Cite
@article{arxiv.1212.0607,
title = {A construction of generators of $Z(\mathfrak{so}_{n})$},
author = {Kenji Taniguchi},
journal= {arXiv preprint arXiv:1212.0607},
year = {2013}
}
Comments
16 pages