Abstract
In this Letter, a cohomology and an associated theory of deformations for (not necessarily co-associative) bialgebras are studied. The cohomology was introduced in a previous paper (Lett. Math. Phys. 25, 75–84 (1992)). This theory has several advantages, especially in calculating cohomology spaces and in its adaptability to deformations of quasi-co-associative (qca) bialgebras and even quasi-triangular qca bialgebras.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bonneau, P., Flato, M., and Pinczon, G., A natural and rigid model of quantum groups, Lett. Math. Phys. 25, 75–84 (1992).
Drinfel'd, V. G., Quasi Hopf algebras, Leningrad Math. J. 1(6), 1419–1457 (1991).
Gerstenhaber, M., Giaquinto, A., and Schack, S. D., Quantum Symmetry, Lectures Notes in Mathematics 1510, Springer-Verlag, New York, 1992, pp 9–46.
Gerstenhaber, M., On the deformation of rings and algebras, Ann. of Math. 79, 59–103 (1964).
Pinczon, G., Private communication.
Shnider, S., Bialgebra deformations, C.R. Acad. Sci. Paris. série I 312, 7–12 (1991).
Stasheff, J., Draft of preprint.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bonneau, P. Cohomology and associated deformations for not necessarily co-associative bialgebras. Lett Math Phys 26, 277–283 (1992). https://doi.org/10.1007/BF00420237
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00420237