Deformation of Lie algebras and Lie algebras of deformations
Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
Similarity:
Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
Similarity:
Dietrich Burde (2007)
Archivum Mathematicum
Similarity:
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
Similarity:
Georges Giraud, Michel Boyom (2004)
Open Mathematics
Similarity:
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
Similarity:
Tian, Yichao (2009)
Documenta Mathematica
Similarity:
Jonathan Pridham (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
The aim of this paper is to study the pro-algebraic fundamental group of a compact Kähler manifold. Following work by Simpson, the structure of this group’s pro-reductive quotient is already well understood. We show that Hodge-theoretic methods can also be used to establish that the pro-unipotent radical is quadratically presented. This generalises both Deligne et al.’s result on the de Rham fundamental group, and Goldman and Millson’s result on deforming representations of Kähler groups,...