An introduction to universal central extensions of Lie superalgebras. (English) Zbl 1077.17016
Bahturin, Yuri (ed.), Groups, rings, Lie and Hopf algebras. Based on the international workshop, St. John’s, Canada, May 28–June 1, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1220-9/hbk). Math. Appl., Dordr. 555, 141-166 (2003).
Summary: We provide an introduction to the theory of universal central extensions of Lie superalgebras. In particular, we show that a Lie superalgebra has a universal central extension if and only if it is perfect. We also consider the question of lifting automorphisms and derivations to the universal central extension, and describe the universal central extension of a semidirect product.
For the entire collection see [Zbl 1012.00034].
For the entire collection see [Zbl 1012.00034].
MSC:
| 17B40 | Automorphisms, derivations, other operators for Lie algebras and super algebras |
