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# ðŸ“™ Noncommutative distributions: unitary representation of gauge groups and algebras by Sergio Albeverio, Raphael J. Hoegh-Krohn, Jean A. Marion, D. Testard, B. Torresani â€” download pdf

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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 general knowledge of the theory of unitary representations, topological groups and elementary stochastic analysis, Noncommutative Distributions: examines a theory of noncommutative distributions as irreducible unitary representations of groups of mappings from a manifold into a Lie group, with applications to gauge-field theories; describes the energy representation when the target Lie group G is compact; discusses representations of G-valued jet bundles when G is not necessarily compact; and supplies a synthesis of deep results on quasi-simple Lie algebras.;Providing over 200 bibliographic citations, drawings, tables, and equations, Noncommutative Distributions is intended for research mathematicians and theoretical and mathematical physicists studying current algebras, the representation theory of Lie groups, and quantum field theory, and graduate students in these disciplines.

## About book:

## About file:

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- Series:
**Pure and Applied Mathematics** - Author:
**Sergio Albeverio, Raphael J. Hoegh-Krohn, Jean A. Marion, D. Testard, B. Torresani** - Year:
**1993** - Publisher:
**CRC Press** - Language:
**English** - ISBN:
**9780824791315,0824791312**

- File size:
**1 064 597** - Format:
**djvu**

Security code:

Representation theory plays important roles in geometry, algebra, analysis, and mathematical physics. In particular, it has been one of the great tools in the study and classification of finite groups. The theory contains some particularly beautiful resul...

This volume contains invited articles by top-notch experts who focus on such topics as: modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hec...

The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new app...

Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ring-theoretic structure of the Jacobson radical J(FG) of FG is of fu...

This book is concerned with recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, quantum groups, homological algebra, invariant theory, combinatorics, model theory ...

This book contains most of the nonstandard material necessary to get acquainted with this new rapidly developing area. It can be used as a good entry point into the study of representations of quantum groups. Among several tools used in studying represent...

The theory of idempotent matrices with entries in complex group algebras has recently experienced a revival, in view of its close relationship with deep geometric problems and conjectures. The relevant questions studied in this book for general groups are...

The theory of idempotent matrices with entries in complex group algebras has recently experienced a revival, in view of its close relationship with deep geometric problems and conjectures. The relevant questions studied in this book for general groups are...

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-...

This book gives a general overview of the biology and molecular biology of yeasts. Topics emphasized include yeast taxonomy (including evolution of yeasts), yeast ecology, with as much emphasis as possible on the relationship between the organisms and the...

For investigators engaged in the study of toxins generally, and host-specific toxins in particular, it is a rare treat to attend a meeting in which toxins involved in plant pathogenesis are emphasized. A gathering of this type provides opportunity to cons...

In Cytochrome P450 Protocols, Ian Phillips and Elizabeth Shephard assemble a comprehensive collection of cutting-edge techniques for the investigation of cytochromes P450. Described in detail by hands-on experimentalists for easy reproducibility, these me...

Many of the known degenerative syndromes that occur in situations where immune and neural cells die prematurely - resulting in disorders that involve both the nervous and the immune systems -, are termed neuroimmunodegeneration (NID) syndromes. This book ...

The nitrogen-containing ring structures are at the hub of metabolism and include ATP, nucleic acids, many coenzymes, metabolic regulators and integrators such as adenosine and GTP, signalling compounds such as cyclic nucleotides and plant cytokinins and b...

This text is intended for an introductory course in bioÂ metabolism concludes with photosynthesis. The last secÂ chemistry. While such a course draws students from variÂ tion of the book, Part IV, TRANSFER OF GENETIC INFORÂ ous curricula, all students are...

The study of primate locomotion is a unique discipline that by its nature is interdisÂ ciplinary, drawing on and integrating research from ethology, ecology, comparative anatÂ omy, physiology, biomechanics, paleontology, etc. When combined and focused on ...

This book conveys a wealth of information on pesticide chemistry, biochemical modes of action, biological activity, and theory of pesticide application for management programs. Emphasis is placed on novel biological insecticides which block certain stages...