The origin and interplay of products and dualities in algebraic (co)homology theories is ascribed to a ×_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.
Duality and products in algebraic (co)homology theories / Kowalzig, Niels; Krähmer, Ulrich. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 323:7(2010), pp. 2063-2081. [10.1016/j.jalgebra.2009.12.026]
Duality and products in algebraic (co)homology theories
KOWALZIG, NIELS;
2010
Abstract
The origin and interplay of products and dualities in algebraic (co)homology theories is ascribed to a ×_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.File allegati a questo prodotto
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