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Noncommutative distributions : unitary representation of gauge groups and algebras par Albeverio, Sergio. Publication : [S.l.] M. Dekker, cop. 1993 . 190 p. , 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. 24 cm. Date : 1993 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Poisson structures and their normal forms par Dufour, Jean-Paul. Publication : Basel ; Boston Birkhauser 2005 . 321 p. , The aim of this book is twofold. On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Representation theory of the Virasoro algebra par Iohara, Kenji Publication : London | New York Springer 2011 . xviii, 474 pages , Formerly CIP.. Uk 25 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Symmetries, lie algebras and representations a graduate course for physicists par Fuchs, Jürgen Publication : Cambridge Cambridge University Press 1997 . 438 p. , This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products and Clebsch-Gordan coefficients, invariant tensors, subalgebras and branching rules, Young tableaux, spinors, Clifford algebras and supersymmetry, representations on function spaces, and Hopf algebras and representation rings. A detailed reference list is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems. The text is written at a level accessible to graduate students, but will also provide a comprehensive reference for researchers. 25 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Fourier transforms of invariant functions on finite reductive Lie algebras / par Letellier, Emmanuel. Publication : Berlin : Springer, 2005 . xi, 165 pages : 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Lie algebras : theory and algorithms / par De Graaf, Willem A. Publication : . 1 online resource (xii, 393 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444501165,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=56,

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Lie algebras : finite and infinite dimensional Lie algebras and applications in physics / par Bäuerle, G. G. A. Publication : . 1 online resource (2 volumes) : , Pt. 2 authors: E.A. de Kerf, G.G.A. Bäuerle, A.P.E. ten Kroode. | Pt. 2 lacks distributor statement. Disponibilité :  http://www.sciencedirect.com/science/book/9780444828361,  http://www.sciencedirect.com/science/publication?issn=09258582&volume=7,

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Linear lie groups / par Freudenthal, Hans, Publication : . 1 online resource (xxii, 547 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780123745743,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=35,

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Introduction to Lie groups and Lie algebras / par Sagle, Arthur A. Publication : . 1 online resource (ix, 361 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780126145502,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=51,

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Enveloping algebras / par Dixmier, Jacques. Publication : . 1 online resource (xvi, 375 pages). , Translation of Algèbres enveloppantes. Disponibilité :  http://www.sciencedirect.com/science/book/9780444110770,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=14,

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Group theory in physics : an introduction / par Cornwell, J. F. Publication : . 1 online resource (viii, 349 pages) : , "An abridgement and revision of Volumes I and II of the author's previous three volume work Group theory in physics"--P. [4] of cover. Disponibilité :  http://www.sciencedirect.com/science/book/9780121898007,

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Lie groups beyond an introduction / par Knapp, Anthony W. Publication : Boston : Birkh�auser, 2002 . xviii, 812 p. : 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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