Strongly nilpotent matrices and Gelfand-Zetlin modules.

DOI10.1016/S0024-3795(02)00675-4zbMath1067.16045MaRDI QIDQ1874314

Sergiy Ovsienko

Publication date: 25 May 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

nilpotent matricesLie algebra representationsregular sequences

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Complete intersections (14M10)

Related Items (10)

Fibers of characters in Gelfand-Tsetlin categories ⋮ A remark on Mishchenko-Fomenko algebras and regular sequences ⋮ \(K\)-orbits on the flag variety and strongly regular nilpotent matrices ⋮ A geometric approach to 1-singular Gelfand-Tsetlin \(\mathfrak{gl}_n\)-modules ⋮ Gelfand-Tsetlin modules over \(\mathfrak{gl}(n)\) with arbitrary characters ⋮ Eigenvalue coincidences and \(K\)-orbits. I ⋮ Principal Galois orders and Gelfand-Zeitlin modules ⋮ Galois orders in skew monoid rings. ⋮ On the freeness problem for truncated current algebras ⋮ Gelfand–Tsetlin varieties for 𝔤𝔩n

Cites Work

• Irreducible weighted sl(3)-modules
• ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
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