×

zbMATH — the first resource for mathematics

Contractions of Lie algebras and algebraic groups. (English) Zbl 1199.14016
Summary: Degenerations, contractions and deformations of various algebraic structures play an important role in mathematics and physics. There are many different definitions and special cases of these notions. We try to give a general definition which unifies these notions and shows the connections among them. Here we focus on contractions of Lie algebras and algebraic groups.

MSC:
14L15 Group schemes
17B81 Applications of Lie (super)algebras to physics, etc.
17B99 Lie algebras and Lie superalgebras
20G99 Linear algebraic groups and related topics
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
PDF BibTeX XML Cite
Full Text: EMIS EuDML arXiv