The origin and interplay of products and dualities in algebraic (co)homology theories is ascribed to a x(A)-Hopf algebra structure on the relevant universal enveloping algebra. This provides a unified treatment for example of results by Van den Bergh about Hochschild (co)homology and by Huebschmann about Lie-Rinehart (co)homology.

Kowalzig, N., Krahmer, U. (2010). Duality and products in algebraic (co)homology theories. JOURNAL OF ALGEBRA, 323(7), 2063-2081 [10.1016/j.jalgebra.2009.12.026].

Duality and products in algebraic (co)homology theories

Kowalzig, N;
2010-01-01

Abstract

The origin and interplay of products and dualities in algebraic (co)homology theories is ascribed to a x(A)-Hopf algebra structure on the relevant universal enveloping algebra. This provides a unified treatment for example of results by Van den Bergh about Hochschild (co)homology and by Huebschmann about Lie-Rinehart (co)homology.
2010
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/02 - ALGEBRA
English
Hochschild (co)homology
Lie-Rinehart algebras
x(A)-Hopf algebras
Kowalzig, N., Krahmer, U. (2010). Duality and products in algebraic (co)homology theories. JOURNAL OF ALGEBRA, 323(7), 2063-2081 [10.1016/j.jalgebra.2009.12.026].
Kowalzig, N; Krahmer, U
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/313885
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