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.

DOI

10.3906/mat-1811-55

Keywords

Bialgebras, weak antipode, 2-cocycle, skew pairing

First Page

1218

Last Page

1231

Recommended Citation

ALONSO, J. N, VILABOA, J. M, & RODRIGUEZ, R. G (2019). Multiplication alteration by two-cocycles for bialgebras with weak antipode. Turkish Journal of Mathematics 43 (3): 1218-1231. https://doi.org/10.3906/mat-1811-55