Stanley’s invariant theory survey

DOI10.1090/S0273-0979-2011-01346-5zbMath1262.20001OpenAlexW2050447047MaRDI QIDQ3094410

David John Benson

Publication date: 25 October 2011

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-2011-01346-5

zbMATH Keywords

polynomial algebrasCohen-Macaulay ringsalgebras of invariantstheory of invariantsGorenstein ringsalgebras of symmetric polynomialsgroups generated by pseudoreflections

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Ordinary representations and characters (20C15) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) History of mathematics in the 20th century (01A60) Vector and tensor algebra, theory of invariants (15A72) Families, moduli of curves (algebraic) (14H10) Actions of groups on commutative rings; invariant theory (13A50) Reflection groups, reflection geometries (51F15) History of group theory (20-03)

Cites Work

• On the Castelnuovo-Mumford regularity of rings of polynomial invariants
• Duality in algebra and topology
• Commutative algebra in group cohomology
• On the Castelnuovo-Mumford regularity of the cohomology ring of a group
• On the deviations of a local ring.
• Projective Resolutions and Poincare Duality Complexes

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