A correspondence between finite-dimensional Lie superalgebras and supergroups.
Vladimir G. Pestov (1992)
Extracta Mathematicae
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Vladimir G. Pestov (1992)
Extracta Mathematicae
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Doubrov, Boris M., Komrakov, Boris P. (1999)
Geometry & Topology
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Hasiewicz, Zbigniew
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Jeffrey Bergen, Piotr Grzeszczuk (2000)
Colloquium Mathematicae
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We prove a series of "going-up" theorems contrasting the structure of semiprime algebras and their subalgebras of invariants under the actions of Lie color algebras.
Grabowski, Janusz
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Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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Kenny De Commer (2015)
Banach Center Publications
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On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...
Richter, David A. (1999)
Journal of Lie Theory
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