Cohen-Macaulayness of modules of invariants for \(SL_ 2\)

DOI10.1016/0021-8693(91)90308-UzbMath0761.20017OpenAlexW2063402773MaRDI QIDQ1178919

Michel Van den Bergh

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90308-u

zbMATH Keywords

Cohen-Macaulay modulesreductive algebraic groupring of invariant polynomialsfinite- dimensional representation

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Vector and tensor algebra, theory of invariants (15A72) Trace rings and invariant theory (associative rings and algebras) (16R30)

Cites Work

• Homogeneous vector bundles
• Invariants and the ring of generic matrices
• The invariant theory of \(n\times n\) matrices
• The Hochster-Roberts theorem of invariant theory
• Combinatorics and commutative algebra.
• On Azumaya algebras and finite dimensional representations of rings
• Trace rings of generic 2 by 2 matrices
• Schemes with Finite-Dimensional Cohomology Groups
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