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- W3048395148 abstract "Abstract A ghor algebra is the path algebra of a dimer quiver on a surface, modulo relations that come from the perfect matchings of its quiver. Such algebras arise from abelian quiver gauge theories in physics. We show that a ghor algebra $$Lambda $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>Λ</mml:mi> </mml:math> on a torus is a dimer algebra (a quiver with potential) if and only if it is noetherian, and otherwise $$Lambda $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>Λ</mml:mi> </mml:math> is the quotient of a dimer algebra by homotopy relations. Furthermore, we classify the simple $$Lambda $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>Λ</mml:mi> </mml:math> -modules of maximal dimension and give an explicit description of the center of $$Lambda $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>Λ</mml:mi> </mml:math> using a special subset of perfect matchings. In our proofs we introduce formalized notions of Higgsing and the mesonic chiral ring from quiver gauge theory." @default.
- W3048395148 created "2020-08-18" @default.
- W3048395148 creator A5005824086 @default.
- W3048395148 date "2023-09-07" @default.
- W3048395148 modified "2023-09-27" @default.
- W3048395148 title "Dimer Algebras, Ghor Algebras, and Cyclic Contractions" @default.
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- W3048395148 doi "https://doi.org/10.1007/s10468-023-10224-y" @default.
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