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Representations and characters of finite groups par Collins, Michael J. Publication : Cambridge Cambridge University Press 2008 . xii, 242 pages , Originally published: 1990. 23 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Representations of groups a computational approach par Lux, Klaus. Publication : Cambridge | New York Cambridge University Press 2010 . x, 460 pages , "The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from www.gap-system.org and readers can download source code and solutions to selected exercises from the book's web page"-- 24 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Representations of infinite-dimensional groups par Ismagilov, R. S. Publication : [S.l.] American Mathematical Society 1996 . 197 p. , This book is devoted to representations of two classes of infinite-dimensional groups: current groups and diffeomorphism groups. The author presents a complete treatment of the subject, including general methods for constructing irreducible representations of infinite-dimensional groups and general results about such representations. He also exhibits deep relations between representations of infinite-dimensional groups and the theory of Fock spaces, the theory of point random processes, and other branches of mathematics. 26 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Schur algebras and representation theory par Martin, Stuart Publication : Cambridge Cambridge University Press 2009 . pages , Originally published: 1993. cm. Date : 2009 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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The dynamical yang-baxter equation, representation theory, and quantum integrable systems par Etingof, Pavel Publication : [S.l.] Oxford University Press, USA 2005 . 150 p. , The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semi-simple Lie algebras. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Symmetry groups and their applications. par Miller, Willard. Publication : . 1 online resource (x, 432 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780124974609,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=50,

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Modular representations of finite groups / par Puttaswamaiah, B. M. Publication : . 1 online resource (xv, 242 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780125686501,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=73,

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Clifford theory for group representations / par Karpilovsky, Gregory, Publication : . 1 online resource (x, 364 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444873774,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=156,

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The representation theory of finite groups / par Feit, Walter, Publication : . 1 online resource (xiv, 502 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444861559,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=25,

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Unitary representations and harmonic analysis : an introduction / par Sugiura, Mitsuo, Publication : . 1 online resource (xv, 452 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444885937,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=44,

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Continuous linear representations / par Magyar, Zoltán. Publication : . 1 online resource (vii, 301 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444890726,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=168,

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Symmetries and Laplacians : introduction to harmonic analysis, group representations, and applications / par Gurarie, David. Publication : . 1 online resource (viii, 453 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444886125,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=174,

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Representations of algebraic groups / par Jantzen, Jens Carsten. Publication : . 1 online resource (xiii, 443 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780123802453,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=131,

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Group representations / par Karpilovsky, Gregory, Publication : . 1 online resource (v. <1-5; in 6>) Disponibilité :  http://www.sciencedirect.com/science/book/9780444886323,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=175,

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Combinatorial, algebraic, and topological representations of groups, semigroups, and categories / par Pultr, Aleš. Publication : . 1 online resource (vi, 372 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444850836,

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Real reductive groups I / par Wallach, Nolan R. Publication : . 1 online resource (1 volumes (xix, 412 pages)) Disponibilité :  http://www.sciencedirect.com/science/book/9780127329604,

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