Multiplication alteration by two-cocycles for bialgebras with weak antipode

Authors

JOSE NICANOR ALONSO
JOSÉ MANUEL FERNANDEZ VILABOA
RAMON GONZALEZ RODRIGUEZ

DOI

10.3906/mat-1811-55

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

First Page

1218

Last Page

1231

Recommended Citation

ALONSO, JOSE NICANOR; VILABOA, JOSÉ MANUEL FERNANDEZ; and RODRIGUEZ, RAMON GONZALEZ (2019) "Multiplication alteration by two-cocycles for bialgebras with weak antipode," Turkish Journal of Mathematics: Vol. 43: No. 3, Article 11. https://doi.org/10.3906/mat-1811-55
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/11