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arXiv:1212.0607 [math.RT]AbstractReferencesReviewsResources

A construction of generators of $Z(\mathfrak{so}_{n})$

Kenji Taniguchi

Published 2012-12-04Version 1

We construct generators of the center of the universal enveloping algebra of the complex orthogonal Lie algebra realized as the alternative matrices of size $n$. 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.

Comments: 16 pages
Journal: Josai Mathematical Monographs vol.6 (2013), 93--108
Categories: math.RT
Subjects: 17B35, 22E45
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