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2 results on '"PBW property"'

1. The Diamond Lemma and the PBW Property in Quantum Algebras

Author

M. Havlíček and S. Pošta

Subjects
quantum algebra, PBW property, center, Engineering (General). Civil engineering (General), TA1-2040
Abstract

(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras and superalgebras.

Published
2010

2. From Koszul duality to Poincaré duality.

Author

DUBOIS-VIOLETTE, MICHEL

Subjects
*KOSZUL algebras, *DUALITY (Nuclear physics), *QUADRATIC fields, *EXISTENCE theorems, *POTENTIAL theory (Physics), *GENERALIZATION, *LIE algebras
Abstract

We discuss the notion of Poincaré duality for graded algebras and its connections with the Koszul duality for quadratic Koszul algebras. The relevance of the Poincaré duality is pointed out for the existence of twisted potentials associated to Koszul algebras as well as for the extraction of a good generalization of Lie algebras among the quadratic-linear algebras. [ABSTRACT FROM AUTHOR]

Published
2012
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