Deformation of Lie algebras and Lie algebras of deformations
Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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Dietrich Burde (2007)
Archivum Mathematicum
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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.
Nicholas M. Katz (1982)
Bulletin de la Société Mathématique de France
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Georges Giraud, Michel Boyom (2004)
Open Mathematics
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We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
Adrian Vasiu (2006)
Annales scientifiques de l'École Normale Supérieure
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Tian, Yichao (2009)
Documenta Mathematica
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