Noncommutative distributions: unitary representation of gauge groups and algebras
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New York u.a.
Dekker
1993
|
| Series: | Pure and applied mathematics
175 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 190 S. |
| ISBN: | 0824791312 |
Staff View
MARC
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| 245 | 1 | 0 | |a Noncommutative distributions |b unitary representation of gauge groups and algebras |c Sergio A. Albeverio ... |
| 264 | 1 | |a New York u.a. |b Dekker |c 1993 | |
| 300 | |a VIII, 190 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Pure and applied mathematics |v 175 | |
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Record in the Search Index
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| adam_text | Contents
Preface ijj
Introduction 1
Chapter 1 Basic Functional Groups and Lie Algebras 21
1.1 Notations and Preliminaries 22
1.2 The Lie Algebras Cf,(A % and 2)(A , % 24
1.3 The Hilbert Sobolev Lie Algebras f(X, % 26
1.4 Technical Results About Some Continuous Sums
of Operators 28
1.5 The Hausdorff Series On 3(.Â¥, S) 31
1.6 The Nuclear Group 3(A G) 33
1.7 The Lie Algebra Q(X, %; The Groups CfcX, G) 35
1.8 The Hilbert Sobolev Lie Groups f(X, G) 36
1.9 The Gauge Groups and Their Various Sobolev
Completions of Order 1 38
1.10 On Some Subgroups of 2)(.V, G) and Related Topics 41
References 43
vii
Viii CONTENTS
Chapter 2 Multiplicative G Distributions on a
Riemannian Manifold 45
2.1 Introduction 45
2.2 Basic iVlaterials for a Theory of G Distributions
on a Riemannian Manifold 45
2.3 The Action of Diff(JQ on § {X, G) 50
2.4 A Basic Tool: Representations of Type (S) 52
2.5 Nonlocated Multiplicative G Integrals;
The Continuous Tensor Products of
Representations of G 58
2.6 The Case Where G Is a Nilpotent Lie Group 64
References 68
Chapter 3 The Energy Representations of Gauge Groups 69
3.1 Introduction 69
3.2 The Basic Energy Representation Associated
with a Riemannian Flag 71
3.3 The Representation Up and Its Spectral Measure 73
3.4 F Property; F Property 78
3.5 On the Irreducibility of the Basic Energy
Representation Uh 79
3.6 Rings of Generalized Energy Representations 82
References 85
Chapter 4 Energy Representations of Path Groups 87
4.1 Introduction 87
4.2 Standard Brownian Measure on Path Spaces 88
4.3 Reduction of the Energy Representation 91
4.4 Irreducibility of Almost All £/a s and Properties
of the Right and Left Versions UR, UL of the
Energy Representation 96
4.5 Comments on Further Developments 105
References 105
Chapter 5 The Algebraic Level: Representations of
Current Algebras 107
5.1 Introduction 107
5.2 Affine Kac Moody Algebras 108
5.3 Some Connected Problems and Applications 136
5.4 Beyond Affine Lie Algebras 152
References 179
Index 183
|
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| isbn | 0824791312 |
| language | English |
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| physical | VIII, 190 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
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| publisher | Dekker |
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| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Noncommutative distributions unitary representation of gauge groups and algebras Sergio A. Albeverio ... New York u.a. Dekker 1993 VIII, 190 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 175 Algèbre des courants ram Champs, théorie quantique des ram Lie, algèbres de ram Physique mathématique ram Représentations de groupes ram Mathematische Physik Algebra of currents Lie algebras Mathematical physics Quantum field theory Representations of groups Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Eichtransformation (DE-588)4122126-6 gnd rswk-swf Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Unitäre Darstellung (DE-588)4186906-0 gnd rswk-swf Distributionstheorie (DE-588)4150254-1 gnd rswk-swf Eichtransformation (DE-588)4122126-6 s Darstellung Mathematik (DE-588)4128289-9 s DE-604 Lie-Gruppe (DE-588)4035695-4 s Unitäre Darstellung (DE-588)4186906-0 s Distributionstheorie (DE-588)4150254-1 s DE-188 Albeverio, Sergio 1939- Sonstige (DE-588)121093999 oth Pure and applied mathematics 175 (DE-604)BV000001885 175 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005494898&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Noncommutative distributions unitary representation of gauge groups and algebras Pure and applied mathematics Algèbre des courants ram Champs, théorie quantique des ram Lie, algèbres de ram Physique mathématique ram Représentations de groupes ram Mathematische Physik Algebra of currents Lie algebras Mathematical physics Quantum field theory Representations of groups Lie-Gruppe (DE-588)4035695-4 gnd Eichtransformation (DE-588)4122126-6 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Unitäre Darstellung (DE-588)4186906-0 gnd Distributionstheorie (DE-588)4150254-1 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4122126-6 (DE-588)4128289-9 (DE-588)4186906-0 (DE-588)4150254-1 |
| title | Noncommutative distributions unitary representation of gauge groups and algebras |
| title_auth | Noncommutative distributions unitary representation of gauge groups and algebras |
| title_exact_search | Noncommutative distributions unitary representation of gauge groups and algebras |
| title_full | Noncommutative distributions unitary representation of gauge groups and algebras Sergio A. Albeverio ... |
| title_fullStr | Noncommutative distributions unitary representation of gauge groups and algebras Sergio A. Albeverio ... |
| title_full_unstemmed | Noncommutative distributions unitary representation of gauge groups and algebras Sergio A. Albeverio ... |
| title_short | Noncommutative distributions |
| title_sort | noncommutative distributions unitary representation of gauge groups and algebras |
| title_sub | unitary representation of gauge groups and algebras |
| topic | Algèbre des courants ram Champs, théorie quantique des ram Lie, algèbres de ram Physique mathématique ram Représentations de groupes ram Mathematische Physik Algebra of currents Lie algebras Mathematical physics Quantum field theory Representations of groups Lie-Gruppe (DE-588)4035695-4 gnd Eichtransformation (DE-588)4122126-6 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Unitäre Darstellung (DE-588)4186906-0 gnd Distributionstheorie (DE-588)4150254-1 gnd |
| topic_facet | Algèbre des courants Champs, théorie quantique des Lie, algèbres de Physique mathématique Représentations de groupes Mathematische Physik Algebra of currents Lie algebras Mathematical physics Quantum field theory Representations of groups Lie-Gruppe Eichtransformation Darstellung Mathematik Unitäre Darstellung Distributionstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005494898&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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