Generalized Laurent polynomial rings as quantum projective 3-spaces.

DOI10.1016/j.jalgebra.2005.10.027zbMath1104.16023OpenAlexW2040049756MaRDI QIDQ2509258

Thomas Cassidy, Brad Shelton, Peter Goetz

Publication date: 19 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.10.027

zbMATH Keywords

Artin-Schelter regular algebrasKoszul algebrasquantum projective spacespoint modules

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Group rings (16S34) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Quadratic and Koszul algebras (16S37)

Related Items (4)

Constructing Clifford quantum \(\mathbb P^3\)'s with finitely many points ⋮ Fat point modules over generalized Laurent polynomial rings. ⋮ Quantum complex projective spaces from Toeplitz cubes ⋮ Quantum deformations of projective three-space

Cites Work

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• Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras.
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Down-up algebras
• Centers of down-up algebras
• Global dimension 4 extensions of Artin-Schelter regular algebras
• Fixed subrings of Noetherian graded regular rings.
• Some finite quantum \(\mathbb{P}^3\)s that are infinite modules over their centers.
• SCHEMES OF LINE MODULES I
• Embedding a quantum rank three quadric in a quantum P³
• Noetherian down-up algebras
• On Koszul algebras and a new construction of Artin-Schelter regular algebras

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