On the trace of graded automorphisms

DOI10.1006/jabr.1996.6896zbMath0877.16022OpenAlexW2001840920MaRDI QIDQ1355589

James J. Zhang, Naihuan Jing

Publication date: 4 November 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6896

zbMATH Keywords

reciprocityKoszul algebrasFrobenius algebrasHilbert-Poincaré seriesSklyanin algebrasfixed subringsfinite groups of graded automorphismsgraded endomorphismsnoncommutative Gorenstein graded algebrasnoncommutative regular graded algebrastrace of graded automorphisms

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Actions of groups on commutative rings; invariant theory (13A50) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10)

Related Items (18)

Invariant theory of Artin-Schelter regular algebras: a survey ⋮ Gorenstein subrings of invariants under Hopf algebra actions. ⋮ Actions of quantum linear spaces on quantum algebras ⋮ Hopf actions on filtered regular algebras. ⋮ Actions of small groups on two-dimensional Artin-Schelter regular algebras ⋮ Generalized gorensteinness and a homological determinant for preprojective algebras ⋮ Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities. ⋮ Gorensteinness of invariant subrings of quantum algebras ⋮ Rigidity of graded regular algebras ⋮ Skew group algebras of Calabi-Yau algebras. ⋮ Properties of the fixed ring of a preprojective algebra ⋮ Shephard-Todd-Chevalley theorem for skew polynomial rings. ⋮ Fixed subrings of Noetherian graded regular rings. ⋮ Factorization of graded traces on Nichols algebras ⋮ Noncommutative Auslander theorem ⋮ Gourmet's guide to Gorensteinness ⋮ Noncommutative complete intersections ⋮ Invariant theory of finite group actions on down-up algebras

Cites Work

• Irreducible representations of the \(4\)-dimensional Sklyanin algebra at points of infinite order
• Graded algebras of global dimension 3
• Fixed rings of finite automorphism groups of associative rings
• Homological properties of (graded) Noetherian PI rings
• Noncommutative projective schemes
• Connected graded Gorenstein algebras with enough normal elements
• Group Actions on Q-F-Rings
• Growth of graded noetherian rings
• Quantum linear groups
• Combinatorics and commutative algebra
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