Classifying quadratic quantum \(\mathbb P^2\)s by using graded skew Clifford algebras.

DOI10.1016/j.jalgebra.2011.07.034zbMath1254.16019arXiv1011.5279OpenAlexW2089633277MaRDI QIDQ2428075

Michaela Vancliff, Manizheh Nafari, Jun Zhang

Publication date: 24 April 2012

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

Full work available at URL: https://arxiv.org/abs/1011.5279

zbMATH Keywords

graded algebrasClifford algebrasregular algebrasOre extensions

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 (9)

Corrigendum: Generalizations of graded Clifford algebras and of complete intersections ⋮ Graded Clifford algebras and graded skew Clifford algebras and their role in the classification of Artin-Schelter regular algebras ⋮ GRADED MORITA EQUIVALENCES FOR GEOMETRIC AS-REGULAR ALGEBRAS ⋮ Isomorphisms of graded skew Clifford algebras ⋮ Point modules over regular graded skew Clifford algebras. ⋮ Skew Clifford algebras ⋮ On the Notion of Complete Intersection Outside the Setting of Skew Polynomial Rings ⋮ Graded Skew Clifford Algebras That Are Twists of Graded Clifford Algebras ⋮ Two-Generated Algebras and Standard-Form Congruence

Cites Work

• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\)
• Constructing Clifford quantum \(\mathbb P^3\)'s with finitely many points
• Generalizations of graded Clifford algebras and of complete intersections
• Twisted Graded Algebras and Equivalences of Graded Categories
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