From double Lie groups to quantum groups

Piotr Stachura

Fundamenta Mathematicae (2005)

  • Volume: 188, Issue: 1, page 195-240
  • ISSN: 0016-2736

Abstract

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It is shown, using geometric methods, that there is a C*-algebraic quantum group related to any double Lie group (also known as a matched pair of Lie groups or a bicrossproduct Lie group). An algebra underlying this quantum group is the algebra of a differential groupoid naturally associated with the double Lie group.

How to cite

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Piotr Stachura. "From double Lie groups to quantum groups." Fundamenta Mathematicae 188.1 (2005): 195-240. <http://eudml.org/doc/283187>.

@article{PiotrStachura2005,
abstract = {It is shown, using geometric methods, that there is a C*-algebraic quantum group related to any double Lie group (also known as a matched pair of Lie groups or a bicrossproduct Lie group). An algebra underlying this quantum group is the algebra of a differential groupoid naturally associated with the double Lie group.},
author = {Piotr Stachura},
journal = {Fundamenta Mathematicae},
keywords = {double Lie group; quantum group},
language = {eng},
number = {1},
pages = {195-240},
title = {From double Lie groups to quantum groups},
url = {http://eudml.org/doc/283187},
volume = {188},
year = {2005},
}

TY - JOUR
AU - Piotr Stachura
TI - From double Lie groups to quantum groups
JO - Fundamenta Mathematicae
PY - 2005
VL - 188
IS - 1
SP - 195
EP - 240
AB - It is shown, using geometric methods, that there is a C*-algebraic quantum group related to any double Lie group (also known as a matched pair of Lie groups or a bicrossproduct Lie group). An algebra underlying this quantum group is the algebra of a differential groupoid naturally associated with the double Lie group.
LA - eng
KW - double Lie group; quantum group
UR - http://eudml.org/doc/283187
ER -

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