Graded Skew Clifford Algebras That Are Twists of Graded Clifford Algebras

DOI10.1080/00927872.2013.847949zbMath1314.16015arXiv1204.0044OpenAlexW2051170248MaRDI QIDQ5245159

Michaela Vancliff, Manizheh Nafari

Publication date: 2 April 2015

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

Full work available at URL: https://arxiv.org/abs/1204.0044

zbMATH Keywords

regular algebrasquadratic algebrasgraded Clifford algebrasquadric systemsskew Clifford algebrastwists of Clifford algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Clifford algebras, spinors (15A66) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (2)

The Nakayama automorphism of a class of graded algebras ⋮ Graded Clifford algebras and graded skew Clifford algebras and their role in the classification of Artin-Schelter regular algebras

Cites Work

• Unnamed Item
• Zero divisors in enveloping algebras of graded Lie algebras
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Constructing Clifford quantum \(\mathbb P^3\)'s with finitely many points
• Classifying quadratic quantum \(\mathbb P^2\)s by using graded skew Clifford algebras.
• Generalizations of graded Clifford algebras and of complete intersections
• Some properties of non-commutative regular graded rings
• Some quantum P³s with infinitely many points

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