04681 - Lie Groups, Lie Algebras, Cohomology and some Applications in Physics [Azcarraga-Izquierdo].pdf

(3988 KB) Pobierz
This book provides a self-contained introduction to the cohomology theory
of Lie groups and algebras and to some of its applications in physics. No
previous knowledge of the mathematical theory is assumed beyond some notions
of Cartan calculus and differential geometry (which are nevertheless reviewed
in the book in detail). The examples, of current interest, are intended to clarify
certain mathematical aspects and to show their usefulness in physical problems.
The topics treated include the differential geometry of Lie groups, fibre bundles
and connections, characteristic classes, index theorems, monopoles, instantons,
extensions of Lie groups and algebras, some applications in supersymmetry,
Chevalley-Eilenberg approach to Lie algebra cohomology, symplectic coho-
mology, jet-bundle approach to variational principles in mechanics, Wess-
Zumino-Witten terms,
infinite Lie algebras,
the cohomological descent in
mechanics and in gauge theories and anomalies. A list of references is given
in the bibliographical notes section at the end of each chapter which allows the
reader to complement and go beyond the topics covered in the book.
This book will be of interest to graduate students and researchers in theoretical
physics and applied mathematics.
CAMBRIDGE MONOGRAPHS ON
MATHEMATICAL PHYSICS
General Editors: P. V. Landshoff, D. R. Nelson, D. W. Sciama, S. Weinberg
LIE GROUPS, LIE ALGEBRAS, COHOMOLOGY
AND SOME APPLICATIONS IN PHYSICS
Cambridge Monographs on Mathematical Physics
A. M. Anile
Relativistic Fluids and Magneto-Fluids
J. A. de Azcarraga and J. M. Izquierdo
Lie groups, Lie Algebras, Cohomology and Some
Applications in Physics
J. Bernstein Kinetic Theory in the Early Universe
G. F. Bertsch and R. A. Broglia
Oscillations in Finite Quantum Systems
N. D. Birrell and P. C. W. Davies Quantum Fields in Curved Spacet
D. M. Brink
Semiclassical Methods in Nucleus-Nucleus Scattering
J. C. Collins
Renormalizationt
P. D. B. Collins An Introduction to Regge Theory and High Energy Physics
M. Creutz
Quarks, Gluons and Latticest
F. de Felice and C. J. S. Clarke
Relativity on Curved Manifolds
B. DeWitt Supermanifolds, 2nd editiont
P. G. O. Freund
Introduction to Supersymmetryt
F G. Friedlander
The Wave Equation on a Curved Space-Time
J. Fuchs Affine Lie Algebras and Quantum Groups
J. A. H. Futterman, F. A. Handler and R. A. Matzner
Scattering from Black Holes
M. Gockeler and T. SchUcker Differential Geometry, Gauge Theories and Gravityt
C. Gomez, M. Ruiz Altaba and G. Sierra Quantum Groups in Two-dimensional Physics
M. B. Green, J. H. Schwarz and E. Witten
Superstring Theory, volume 1: Introductiont
M. B. Green, J. H. Schwarz and E. Witten
Superstring Theory, volume 2: Loop Amplitudes,
Anomalies and Phenomenologyt
S. W. Hawking and G. F. R. Ellis
The Large-Scale Structure of Space- Time
F. lachello and A. Arima
The Interacting Boson Model
F. lachello and P. van Isacker
The Interacting Boson-Fermion Model
C. Itzykson and J: M. Drouffe
Statistical Field Theory, volume 1: From Brownian Motion to
Renormalization and Lattice Gauge Theoryt
C. Itzykson and J: M. Drouffe
Statistical Field Theory, volume 2: Strong Coupling, Monte Carlo
Methods, Conformal Field Theory, and Random Systemst
J. I. Kapusta Finite-Temperature Field Theory
V. E. Korepin, A. G. Izergin and N. M. Boguliubov
The Quantum Inverse Scattering Method and
Correlation Functions
D. Kramer, H. Stephani, M. A. H. MacCallum and E. Herlt
Exact Solutions of Einstein's Field
Equations
N. H. March Liquid Metals: Concepts and Theory
L. O'Raifeartaigh
Group Structure of Gauge Theoriest
A. Ozorio de Almeida Hamiltonian Systems: Chaos and Quantizationt
R. Penrose and W. Rindler
Spinors and Space-time, volume 1: Two-Spinor Calculus and
Relativistic Fieldst
R. Penrose and W. Rindler
Spinors and Space-time, volume 2 : Spinor and Twistor Methods in
Space-Time Geometry
S. Pokorski Gauge Field Theoriest
V. N. Popov Functional Integrals and Collective Excitationst
R. Rivers Path Integral Methods in Quantum Field Theoryt
R. G. Roberts
The Structure of the Proton
W. C. Saslaw
Gravitational Physics of Stellar and Galactic Systemst
J. M. Stewart Advanced General Relativity
A. Vilenkin and E. P. S. Shellard
Cosmic Strings and other Topological Defects
R. S. Ward and R. O. Wells Jr
Twistor Geometry and Field Theoriest
t Issued as a paperback

Plik z chomika:

Inne pliki z tego folderu:

Inne foldery tego chomika:

Zgłoś jeśli naruszono regulamin