JOURNAL ARTICLE

Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras

Ji-Wei HeF. Van OystaeyenYinhuo Zhang

Year: 2014 Journal:   Proceedings of the American Mathematical Society Vol: 143 (4)Pages: 1423-1434   Publisher: American Mathematical Society

Abstract

We study a class of graded algebras obtained from Ore extensions of graded Calabi-Yau algebras of dimension 2. It is proved that these algebras are graded Calabi-Yau and graded coherent. The superpotentials associated to these graded Calabi-Yau algebras are also constructed.

Keywords:
Calabi–Yau manifold Dimension (graph theory) Pure mathematics Mathematics Class (philosophy) Algebra over a field Computer science

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19
Refs
0.70
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Citation History

Topics

Algebraic structures and combinatorial models
Physical Sciences →  Mathematics →  Geometry and Topology
Nonlinear Waves and Solitons
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics
Advanced Topics in Algebra
Physical Sciences →  Mathematics →  Algebra and Number Theory

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