Loop groups, elliptic singularities and principal bundles over elliptic curves

Stefan Helmke, and Peter Slodowy. "Loop groups, elliptic singularities and principal bundles over elliptic curves." Banach Center Publications 62.1 (2003): 87-99. <http://eudml.org/doc/282560>.

@article{StefanHelmke2003,
abstract = {There is a well known relation between simple algebraic groups and simple singularities, cf. [5], [28]. The simple singularities appear as the generic singularity in codimension two of the unipotent variety of simple algebraic groups. Furthermore, the semi-universal deformation and the simultaneous resolution of the singularity can be constructed in terms of the algebraic group. The aim of these notes is to extend this kind of relation to loop groups and simple elliptic singularities. It is the successful completion of work begun long ago, [29], cf. also [31], [30], [32] for more general situations.},
author = {Stefan Helmke, Peter Slodowy},
journal = {Banach Center Publications},
keywords = {simple elliptic singularities; deformations},
language = {eng},
number = {1},
pages = {87-99},
title = {Loop groups, elliptic singularities and principal bundles over elliptic curves},
url = {http://eudml.org/doc/282560},
volume = {62},
year = {2003},
}

TY - JOUR
AU - Stefan Helmke
AU - Peter Slodowy
TI - Loop groups, elliptic singularities and principal bundles over elliptic curves
JO - Banach Center Publications
PY - 2003
VL - 62
IS - 1
SP - 87
EP - 99
AB - There is a well known relation between simple algebraic groups and simple singularities, cf. [5], [28]. The simple singularities appear as the generic singularity in codimension two of the unipotent variety of simple algebraic groups. Furthermore, the semi-universal deformation and the simultaneous resolution of the singularity can be constructed in terms of the algebraic group. The aim of these notes is to extend this kind of relation to loop groups and simple elliptic singularities. It is the successful completion of work begun long ago, [29], cf. also [31], [30], [32] for more general situations.
LA - eng
KW - simple elliptic singularities; deformations
UR - http://eudml.org/doc/282560
ER -