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Book Categories |
| Preface | ||
| Introduction | 1 | |
| Ch. 1 | Basic Functional Groups and Lie Algebras | 21 |
| 1.1 | Notations and Preliminaries | 22 |
| 1.2 | The Lie Algebras [actual symbol not reproducible](X, Y) and D(X, Y) | 24 |
| 1.3 | The Hilbert-Sobolev Lie Algebras [actual symbol not reproducible](X, Y) | 26 |
| 1.4 | Technical Results About Some Continuous Sums of Operators | 28 |
| 1.5 | The Hausdorff Series On D(X, Y) | 31 |
| 1.6 | The Nuclear Group D(X, G) | 33 |
| 1.7 | The Lie Algebra [actual symbol not reproducible](X, Y); The Group [actual symbol not reproducible](X, G) | 35 |
| 1.8 | The Hilbert--Sobolev Lie Groups [actual symbol not reproducible](X, G) | 36 |
| 1.9 | The Gauge Groups and Their Various Sobolev Completions of Order 1 | 38 |
| 1.10 | On Some Subgroups of D(X, G) and Related Topics | 41 |
| Ch. 2 | Multiplicative G-Distributions on a Riemannian Manifold | 45 |
| 2.2 | Basic Materials for a Theory of G-Distributions on a Riemannian Manifold | 45 |
| 2.3 | The Action of Diff(X) on D(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 |
| Ch. 3 | The Energy Representations of Gauge Groups | 69 |
| 3.2 | The Basic Energy Representation Associated With a Riemannian Flag | 71 |
| 3.3 | The Representation [actual symbol not reproducible] and Its Spectral Measure | 73 |
| 3.4 | [Gamma]-Property; [Gamma]'-Property | 78 |
| 3.5 | On the Irreducibility of the Basic Energy Representation U[subscript F] | 79 |
| 3.6 | Rings of Generalized Energy Representations | 82 |
| Ch. 4 | Energy Representations of Path Groups | 87 |
| 4.2 | Standard Brownian Measure on Path Spaces | 88 |
| 4.3 | Reduction of the Energy Representation | 91 |
| 4.4 | Irreducibility of Almost All U[superscript [alpha]]'s and Properties of the Right and Left Versions U[superscript R], U[superscript L] of the Energy Representation | 96 |
| Ch. 5 | The Algebraic Level: Representations of Current Algebras | 107 |
| 5.2 | Affine Kac-Moody Algebras | 108 |
| 5.3 | Some Connected Problems and Applications | 136 |
| 5.4 | Beyond Affine Lie Algebras | 152 |
| Index | 183 |
| Price | Condition | Delivery | Seller | Action |
| $183.11 | Digital |
| WonderClub |
Ethan Quillen
reviewed Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras on June 10, 2008
Noncommutative Distributions
This is one of the most carefully argued books I have read, honestly, ever. It ranks with the greats of philosophy and is an important book for all who wish to fully understand the power of ideas to shape our whole society and its trajectory.
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Add Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras, Covering important aspects of the theory of unitary representations of nuclear Lie groups, this self-contained reference presents the general theory of energy representations and addresses various extensions of path groups and algebras.;Requiring only a g, Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras to the inventory that you are selling on WonderClubX
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Add Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras, Covering important aspects of the theory of unitary representations of nuclear Lie groups, this self-contained reference presents the general theory of energy representations and addresses various extensions of path groups and algebras.;Requiring only a g, Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras to your collection on WonderClub |