Contractions of Lie algebras and algebraic groups

Dietrich Burde

Archivum Mathematicum (2007)

  • Volume: 043, Issue: 5, page 321-332
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Burde, Dietrich. "Contractions of Lie algebras and algebraic groups." Archivum Mathematicum 043.5 (2007): 321-332. <http://eudml.org/doc/250177>.

@article{Burde2007,
abstract = {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.},
author = {Burde, Dietrich},
journal = {Archivum Mathematicum},
keywords = {contractions; Lie algebras; affine algebraic groups; affine group schemes; contractions; Lie algebras; affine algebraic groups; affine group schemes},
language = {eng},
number = {5},
pages = {321-332},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Contractions of Lie algebras and algebraic groups},
url = {http://eudml.org/doc/250177},
volume = {043},
year = {2007},
}

TY - JOUR
AU - Burde, Dietrich
TI - Contractions of Lie algebras and algebraic groups
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 5
SP - 321
EP - 332
AB - 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.
LA - eng
KW - contractions; Lie algebras; affine algebraic groups; affine group schemes; contractions; Lie algebras; affine algebraic groups; affine group schemes
UR - http://eudml.org/doc/250177
ER -

References

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