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- W2017885615 abstract "The Calabi–Yau property of cocommutative Hopf algebras is discussed by using the homological integral, a recently introduced tool for studying infinite dimensional AS-Gorenstein Hopf algebras. It is shown that the skew-group algebra of a universal enveloping algebra of a finite dimensional Lie algebra g with a finite subgroup G of automorphisms of g is Calabi–Yau if and only if the universal enveloping algebra itself is Calabi–Yau and G is a subgroup of the special linear group SL ( g ) . The Noetherian cocommutative Calabi–Yau Hopf algebras of dimension not larger than 3 are described. The Calabi–Yau property of Sridharan enveloping algebras of finite dimensional Lie algebras is also discussed. We obtain some equivalent conditions for a Sridharan enveloping algebra to be Calabi–Yau, and then partly answer a question proposed by Berger. We list all the nonisomorphic 3-dimensional Calabi–Yau Sridharan enveloping algebras." @default.
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- W2017885615 date "2010-10-01" @default.
- W2017885615 modified "2023-09-29" @default.
- W2017885615 title "Cocommutative Calabi–Yau Hopf algebras and deformations" @default.
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- W2017885615 doi "https://doi.org/10.1016/j.jalgebra.2010.06.010" @default.
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