Graded Clifford Algebras of Prime Global Dimension with an Action ofHp

DOI10.1080/00927872.2014.942423zbMath1342.16025arXiv1401.7800OpenAlexW1962691546MaRDI QIDQ3448295

Kevin De Laet

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1401.7800

zbMATH Keywords

Heisenberg groupSklyanin algebrasquantum spacesgraded Clifford algebrasArtin-Schelter-regular 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)

Quotients of degenerate Sklyanin algebras ⋮ Constructing G-algebras

Cites Work

• Sklyanin elliptic algebras
• Graded algebras of global dimension 3
• The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras
• Central singularities of quantum spaces
• Generalizations of graded Clifford algebras and of complete intersections
• The Arithmetic of Elliptic Curves
• Some quantum P³s with infinitely many points
• Koszul Algebras and Regularity
• On Koszul algebras and a new construction of Artin-Schelter regular algebras

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