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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.

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
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