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by Alan Weinstein
Notices of the AMS
http://amath-www.colorado.edu/math/researchgroups/groupoids/pages/papers/survey.ps.gz
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Abstract:
Mathematicians tend to think of the notion of symmetry as being virtually synonymous with the theory of groups and their actions, perhaps largely because of the well known Erlanger program F. Klein and the related work
Citations
|
225
|
Noncommutative Geometry
– Connes
- 1994
|
|
40
|
The Mathematical Foundations of Quantum Mechanics
– Mackey
- 1963
|
|
33
|
Geometric scattering theory
– Melrose
- 1995
|
|
29
|
The Atiyah-Patodi-Singer index theorem
– Melrose
- 1993
|
|
28
|
From groups to groupoids: a brief survey
– Brown
- 1987
|
|
24
|
A groupoid approach to C ∗ -algebras
– Renault
- 1980
|
|
22
|
Topology: A Geometric Account of General Topology, Homotopy Types and the Fundamental Groupoid
– Brown
- 1988
|
|
22
|
Techniques de construction et theoremes d'existence en geometrie algebrique. IV. Les schemas de
– Grothendieck
- 1961
|
|
20
|
Categories and groupoids
– Higgins
- 1971
|
|
18
|
Poisson Lie groups, dressing transformations, and Bruhat decompositions
– Lu, Weinstein
- 1990
|
|
8
|
Über eine Verallgemeinerung des Gruppenbegriffes
– Brandt
- 1926
|
|
7
|
Lie Groupoids and Lie Algebroids
– Mackenzie
- 1987
|
|
6
|
Differential forms on general commutative algebras
– Rinehart
- 1963
|
|
5
|
Oeuvres Complete et Commentees
– Ehresmann
- 1980
|
|
5
|
Classification of principal bundles and Lie groupoids with prescribed gauge group bundle
– Mackenzie
- 1989
|
|
5
|
Symplectic groupoids and Poisson manifolds
– Weinstein
- 1987
|
|
5
|
Noncommutative geometry and geometric quantization, Symplectic Geometry and Mathematical Physics: actes du colloque en l'honneur de Jean-Marie Souriau
– Weinstein
- 1991
|
|
4
|
Ergodic theory and virtual
– Mackey
- 1966
|
|
4
|
Théorie des distributions, Nouvelle édition
– Schwartz
- 1966
|
|
3
|
Analogues of objects of the Lie group theory for non-linear Poisson brackets, Soviet Mat. Izviestia 28
– Karasev
- 1987
|
|
2
|
Groupoides symplectiques, Publications du D'epartement de Math'ematiques, Universit'e Claude BernardLyon I 2A
– Coste, Dazord, et al.
- 1987
|
|
2
|
Klein and Sophus Lie: evolution of the idea of symmetry
– Yaglom, Felix
- 1988
|
|
1
|
Construction de pr'esch'emas quotient, Sch'emas en Groupes, S'em. G'eom'etrie Alg'ebrique
– Gabriel
|
|
1
|
Global Analysis on Foliated
– Moore, Schochet
- 1988
|
|
1
|
Troisi`eme th'eor`eme de Lie sur les groupoides diff'erentiables
– Pradines
- 1968
|
|
1
|
Harmonic analysis on groupoids
– Westman
- 1968
|
|
1
|
Quantum and classical pseudogroups
– Zakrzewski
- 1990
|
