Geodesic
Contractions of Lie algebras and algebraic groups
Archivum mathematicum, Tome 43 (2007) no. 5, pp. 321-332

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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.
Classification : 14L15, 14Lxx, 17B81, 17B99, 17Bxx, 20G99, 20Gxx, 81R05
Keywords: contractions; Lie algebras; affine algebraic groups; affine group schemes 
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     author = {Burde, Dietrich},
     title = {Contractions of {Lie} algebras and algebraic groups},
     journal = {Archivum mathematicum},
     pages = {321--332},
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     number = {5},
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     zbl = {1199.14016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2007__43_5_a2/}
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Burde, Dietrich. Contractions of Lie algebras and algebraic groups. Archivum mathematicum, Tome 43 (2007) no. 5, pp. 321-332. http://geodesic.mathdoc.fr/item/ARM_2007__43_5_a2/