nLab George Kac

George I. Kac (also spelled Kats) was an algebraist with contributions to noncommutative algebra, group rings, Hopf algebras, extensions of Tannaka-Krein duality etc. So called Kac algebras (especially suitable for Tannaka duality in certain generality) are named after him.

The standard monograph on Kac algebras is

• M. Enock, J. M. Schwartz, Kac algebras and duality of locally compact groups, Springer-Verlag, 1992, , x+257 pp. gBooks, MR94e:46001

Selected publications

A famous 8-dimensional noncommutative Hopf algebras is first exhibited in

• G. I. Kac, V. G. Paljutkin, Finite ring groups, Trans. Moscow Math. Soc. 15 (1966) 251-294
• F. A. Berezin, G. I. Kats, Lie groups with commuting and anticommuting parameters, Matematicheskii Sbornik, 82 (124):3(7) (1970) 343-350 doi references
• G. I. Kac, Extensions of groups to group rings, Mathematics of the USSR-Sbornik, 1968, 5:3 (1968) 451-474 doi

category: people