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Actions of discrete amenable groups on von Neumann algebras par Ocneanu,, Adrian. Publication : Berlin | New York Springer-Verlag 1985 . 114 pages , Includes indexes. 25 cm. Date : 1985 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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An Introduction to harmonic analysis on semisimple lie groups / par Varadarajan, V.S. Publication : [S.l.] : Cambridge University Press, 1999 . 326 p. ; , Broché. 23 cm. Date : 1999 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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An introduction to quasigroups and their representations par Smith,, Jonathan D. H. Publication : [S.l.] Chapman and Hall/CRC 2006 . 352 p. , Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension. To fully understand representation theory, the first three chapters provide a foundation in the theory of quasigroups and loops, covering special classes, the combinatorial multiplication group, universal stabilizers, and quasigroup analogues of abelian groups. Subsequent chapters deal with the three main branches of representation theory-permutation representations of quasigroups, combinatorial character theory, and quasigroup module theory. Each chapter includes exercises and examples to demonstrate how the theories discussed relate to practical applications. The book concludes with appendices that summarize some essential topics from category theory, universal algebra, and coalgebras. Long overshadowed by general group theory, quasigroups have become increasingly important in combinatorics, cryptography, algebra, and physics. Covering key research problems, An Introduction to Quasigroups and Their Representations proves that you can apply group representation theories to quasigroups as well. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Analyse harmonique non-commutative sur certains espaces homogenes : etude de certaines integrales singulieres par Coifman, R. R. Publication : [S.l.] Springer 1972 . 168 p. 23 cm. Date : 1972 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Automorphic forms on gl par Jacquet, H. Publication : [S.l.] Springer 1970 . 554 p. 23 cm. Date : 1970 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Blocks of tame representation type and related algebras par Erdmann,, K. Publication : [S.l.] Springer 1990 . 312 p. , This monograph studies algebras that are associated to blocks of tame representation type. Over the past few years, a range of new results have been obtained and a comprehensive account of these is provided here to- gether with some new proofs of known results. Some general theory of algebras is also presented, as a means of understanding the subject. The book is addressed to researchers and graduate students interested in the links between representations of finite-dimensional algebras and modular group representation theory. The basic properties of modules and finite-dimensional algebras are assumed known. 25 cm. Date : 1990 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Bose algebras : the complex and real wave representations par Nielsen, Torben T. Publication : [S.l.] Springer 1991 . 138 p. , The mathematics of Bose-Fock spaces is built on the notion of a commutative algebra and this algebraic structure makes the theory appealing both to mathematicians with no background in physics and to theorectical and mathematical physicists who will at once recognize that the familiar set-up does not obscure the direct relevance to theoretical physics. The well-known complex and real wave representations appear here as natural consequences of the basic mathematical structure - a mathematician familiar with category theory will regard these representations as functors. Operators generated by creations and annihilations in a given Bose algebra are shown to give rise to a new Bose algebra of operators yielding the Weyl calculus of pseudo-differential operators. The book will be useful to mathematicians interested in analysis in infinitely many dimensions or in the mathematics of quantum fields and to theoretical physicists who can profit from the use of an effective and rigrous Bose formalism. 24 cm. Date : 1991 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Continuous cohomology, discrete subgroups, and representations of reductive groups par Borel, A. Publication : [S.l.] American Mathematical Society 2000 . 260 p. , It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades. 27 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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D-modules, perverse sheaves, and representation theory par Hotta, Ryoshi, Publication : Boston, Mass. ; | Basel, Suisse ; | Berlin : Birkhäuser, 2008 . 1 vol. (X-407 p.) : , Trad. remaniée de : "D Kagun to Daisugun." | 1ère édition japonaise publiée sous le titre "D Kagun to Daisugun" (D-modules and Algebraic groups) par R. Hotta and T. Tanisaki chez Springer Verlag Tokyo, en 1995. 25 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Explicit Brauer induction With applications to algebra and number theory par Snaith, Victor P. Publication : Cambridge Cambridge University Press 1994 . 1 volume , First paperback edition 2010 Date : 1994 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Gröbner bases and the computation of group cohomology par Green,, David J. Publication : Berlin | New York Springer-Verlag 2003 . xi, 138 pages 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Harmonic analysis, group representations, automorphic forms and invariant theory : in honor of roger E. howe par Li, Jian-shu. Publication : [S.l.] World Scientific Publishing Company 2007 . 429 p. , This volume carries the same title as that of an international conference held at the National University of Singapore, 9 11 January 2006 on the occasion of Roger E. Howe s 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe s mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications. 23 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Introduction to lie algebras and representation theory par Humphreys, J.E. Publication : New York Springer 1972 . 173 p. , This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, Euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are more demanding.This text grew out of lectures which the author gave at the N.S.F. Advanced Science Seminar on Algebraic Groups at Bowdoin College in 1968. 24 cm. Date : 1972 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Linear representations of finite groups par Serre, Jean-Pierre, Publication : New York Springer-Verlag 1996 . x, 170 pages 24 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Linearity, symmetry, and prediction in the hydrogen atom / par Singer,, Stephanie Frank, Publication : New York : Springer, 2005 . xiv, 396 p. : 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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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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Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras par Ceccherini-Silberstein, Tullio. Publication : Cambridge, UK | New York Cambridge University Press 2010 . xv, 412 pages 24 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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