Journal of Lie Theory EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 13, No. 2, pp. 579--590 (2003)

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The Variety of Lie Bialgebras

Nicola Ciccoli and Lucio Guerra

Nicola Ciccoli
Dipartimento di Matematica
Università di Perugia
Via Vanvitelli 1
06123 Perugia Italy
ciccoli@dipmat.unipg.it
Lucio Guerra
Dipartimento di Matematica
Università di Perugia
Via Vanvitelli 1
06123 Perugia Italy
guerra@dipmat.unipg.it

Abstract: We define a Lie bialgebra cohomology as the total cohomology of a double complex constructed from a Lie algebra and its dual, we show that its 2--cocycles classify Lie bialgebra formal deformations and we prove the usual cohomological condition (i.\ e. $H^2=0$) for formal rigidity. Lastly we describe the results of explicit computations in low--dimensional cases.

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Electronic version published on: 26 May 2003. This page was last modified: 14 Aug 2003.

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