Invariant theory of the block diagonal subgroups of \(GL(n,\mathbb{C})\) and generalized Casimir operators

DOI10.1016/0021-8693(92)90184-NzbMath0744.22013OpenAlexW1980957702MaRDI QIDQ1183290

Tuong Ton-That, William H. Klink

Publication date: 28 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90184-n

zbMATH Keywords

generatorsLie algebraLie groupgeneral linear grouppolynomial functionssymmetric algebraadjoint representationcoadjoint representationalgebra of invariantsblock diagonal subgroupgeneralized Casimir invariant differential operators

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Vector and tensor algebra, theory of invariants (15A72) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (3)

Invariant theory of the block diagonal subgroups of \(GL(n,\mathbb{C})\) and generalized Casimir operators ⋮ Invariants of quivers and wreath products ⋮ Algorithms for computing generalized \(\text{U}(N)\) Racah coefficients

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