Multiplication alteration by two-cocycles for bialgebras with weak antipode

Authors: JOSE NICANOR ALONSO, JOSÉ MANUEL FERNANDEZ VILABOA, RAMON GONZALEZ RODRIGUEZ

Abstract: In this paper we introduce the theory of multiplication alteration by two-cocycles for bialgebras with weak antipode. Moreover, by the connection between two-cocycles and invertible skew pairings, we show that a special case of the double cross product of these bialgebras can be obtained as a deformation of a bialgebra with weak antipode.

Keywords: Bialgebras, weak antipode, 2-cocycle, skew pairing

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