arXiv Analytics

Sign in

arXiv:1402.4444 [math.RT]AbstractReferencesReviewsResources

Central elements in the universal enveloping algebra and function of matrix elements

D. V. Artamonov, V. A. Golubeva

Published 2014-02-18Version 1

In the paper a construction of central elements in $U(\mathfrak{o}_N)$ and $U(\mathfrak{g}_2)$ based on invariant theory is given. New function of matrix elements that appear in description of the center of $U(\mathfrak{g}_2)$ are defined.

Comments: 17 pages, 9 figures
Categories: math.RT
Related articles: Most relevant | Search more
arXiv:0710.0265 [math.RT] (Published 2007-10-01, updated 2008-02-07)
Two permanents in the universal enveloping algebras of the symplectic Lie algebras
arXiv:2211.03924 [math.RT] (Published 2022-11-08)
Diagram categories and invariant theory for classical groups and supergroups
arXiv:2307.15952 [math.RT] (Published 2023-07-29)
The argument shift method in universal enveloping algebra $U\mathfrak{gl}_d$