Weight spaces of invariants of certain unipotent group actions

DOI10.1016/0021-8693(89)90306-2zbMath0697.20026OpenAlexW2031758452MaRDI QIDQ910857

Jozsef Horvath

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90306-2

zbMATH Keywords

charactersroot systemfinite generationactionsubalgebra of invariantspositive rootsunipotent subgroupalgebra of regular functionscomplex semisimple algebraic groupfinite dimensional rational irreducible G-moduleslinearly independent

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Vector and tensor algebra, theory of invariants (15A72) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (1)

A dimension theorem for vectors fixed by unipotent groups

Cites Work

• Ordered sets with the standardizing property and straightening laws for algebras of invariants
• Hilbert's fourteenth problem for non-reductive groups
• On Quotient Varieties and the Affine Embedding of Certain Homogeneous Spaces
• Lie Group Representations on Polynomial Rings
• Unipotent Groups in Invariant Theory

This page was built for publication: Weight spaces of invariants of certain unipotent group actions