Catalogue Bibliothèque de L'IMIST/CNRST › Résultats de la recherche pour 'ccl=su:Lie groups'

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		Geometrical theory of dynamical systems and fluid flows par Kambe, Tsutomu. Publication : New Jersey ; London World Scientific 2004 . 416 p. , This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows, and certain integrable systems. The subjects are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect. A great deal of effort has been directed toward making the description elementary, clear and concise, so that beginners will have an access to the topics. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2), Réserver Ajouter au panier (Supprimer)
		Geometry and quantum field theory : june 22-july 20, 1991, park city, utah par Freed, Daniel S. Publication : [S.l.] American Mathematical Society 1995 . 459 p. , Exploring topics from classical and quantum mechanics and field theory, this book is based on lectures presented in the Graduate Summer School at the Regional Geometry Institute in Park City, Utah, in 1991. The chapter by Bryant treats Lie groups and symplectic geometry, examining not only the connection with mechanics but also the application to differential equations and the recent work of the Gromov school. Rabin's discussion of quantum mechanics and field theory is specifically aimed at mathematicians. Alvarez describes the application of supersymmetry to prove the Atiyah-Singer index theorem, touching on ideas that also underlie more complicated applications of supersymmetry. Quinn's account of the topological quantum field theory captures the formal aspects of the path integral and shows how these ideas can influence branches of mathematics which at first glance may not seem connected. Presenting material at a level between that of textbooks and research papers, much of the book would provide excellent material for graduate courses. The book provides an entree into a field that promises to remain exciting and important for years to come. 27 cm. Date : 1995 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Groups and geometric analysis. par Helgason, Sigurdur. Publication : [S.l.] American Mathematical Society 2000 . 680 p. , This volume, the second of Helgason's impressive three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to group-theoretic methods in analysis on spaces with a group action. The first chapter deals with the three two-dimensional spaces of constant curvature, requiring only elementary methods and no Lie theory. It is remarkably accessible and would be suitable for a first-year graduate course. The remainder of the book covers more advanced topics, including the work of Harish-Chandra and others, but especially that of Helgason himself. Indeed, the exposition can be seen as an account of the author's tremendous contributions to the subject. Chapter I deals with modern integral geometry and Radon transforms. The second chapter examines the interconnection between Lie groups and differential operators. Chapter IV develops the theory of spherical functions on semisimple Lie groups with a certain degree of completeness, including a study of Harish-Chandra's $c$-function. The treatment of analysis on compact symmetric spaces (Chapter V) includes some finite-dimensional representation theory for compact Lie groups and Fourier analysis on compact groups. Each chapter ends with exercises (with solutions given at the end of the book!) and historical notes. This book, which is new to the AMS publishing program, is an excellent example of the author's well-known clear and careful writing style. It has become the standard text for the study of spherical functions and invariant differential operators on symmetric spaces. Sigurdur Helgason was awarded the Steele Prize for Groups and Geometric Analysis and the companion volume, Differential Geometry, Lie Groups and Symmetric Spaces. 27 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Harmonic analysis of mean periodic functions on symmetric spaces and the Heisenberg group par Volchkov, Valeri V. Publication : Dordrecht \| New York Springer 2009 . xi, 671 pages , Mean periodic functions on homogeneous spaces is a very active research area, having close connections to harmonic analysis, complex analysis, integral geometry, and analysis on symmetric spaces. This book presents systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Infinite dimensional groups with applications Publication : New York Springer 1985 . 396 p. 24 cm. Date : 1985 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		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), Réserver Ajouter au panier (Supprimer)
		Lectures on real semisimple Lie algebras and their representations / par Onishchik, A.L. Publication : Zu̓rich : European Mathematical Society, 2004 . ix, 86 p. : 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Lectures on the orbit method par Kirillov, A. A. Publication : [S.l.] American Mathematical Society 2004 . 408 p. , Isaac Newton encrypted his discoveries in analysis in the form of an anagram that deciphers to the sentence, "It is worthwhile to solve differential equations". Accordingly, one can express the main idea behind the orbit method by saying "It is worthwhile to study coadjoint orbits". The orbit method was introduced by the author, A. A. Kirillov, in the 1960s and remains a useful and powerful tool in areas such as Lie theory, group representations, integrable systems, complex and symplectic geometry, and mathematical physics. This book describes the essence of the orbit method for non-experts and gives the first systematic, detailed, and self-contained exposition of the method. It starts with a convenient "User's Guide" and contains numerous examples. It can be used as a text for a graduate course, as well as a handbook for non-experts and a reference book for research mathematicians and mathematical physicists. 26 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Lie group par Cohn, P. M. Publication : Cambridge Cambridge University Press 2009 . pages cm Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Lie groups / par Bump,, Daniel, Publication : New York : Springer, 2004 . xi, 451 p. : 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Lie groups, Lie algebras, and representations an elementary introduction par Hall, Brian C. Publication : New York Springer 2003 . xiv, 351 pages , Includes index. 25 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2), Réserver Ajouter au panier (Supprimer)
		Lie groups a problem-oriented introduction via matrix groups par Pollatsek,, Harriet Suzanne Katcher. Publication : [Washington, D.C.] Mathematical Association of Americ 2009 . xii, 177 pages 27 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Lie groups, physics, and geometry an introduction for physicists, engineers and chemists par Gilmore, Robert Publication : Cambridge \| New York Cambridge University Press 2008 . xi, 319 pages 26 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Lie theory : unitary representations and compactifications of symmetric spaces Publication : Boston Birkhäuser 2005 . x, 207 pages 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Module categories of analytic groups par Magid, Andy R. Publication : Cambridge Cambridge University Press 2008 . x, 134 pages , Originally published: 1982. 23cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Nilpotent lie algebras / par Goze,, M. Publication : [S.l.] : Springer, 1996 . 352 p. ; , This volume is devoted to the theory of nilpotent Lie algebras and their applications. Nilpotent Lie algebras have played an important role over the last years both in the domain of algebra, considering its role in the classification problems of Lie algebras, and in the domain of differential geometry. Among the topics discussed here are the following: cohomology theory of Lie algebras, deformations and contractions, the algebraic variety of the laws of Lie algebras, the variety of nilpotent laws, and characteristically nilpotent Lie algebras in nilmanifolds. Audience: This book is intended for graduate students specialising in algebra, differential geometry and in theoretical physics and for researchers in mathematics and in theoretical physics. 25 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		On the functional equations satisfied by Eisenstein series par Langlands, Robert P. Publication : Berlin \| New York Springer-Verlag 1976 . v, 337 pages 24 cm. Date : 1976 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		P-adic lie groups par Schneider, P. Publication : Heidelberg \| New York Springer. 2011 . xi, 254 pages 25 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Representation theory of lie groups par David, Jeffrey Publication : [S.l.] American Mathematical Society, IAS/Park City Mathematics Institute 2000 . 340 p. , This book contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with lectures by A. Knapp and P. Trapa outlining the state of the subject around the year 1975, specifically, the fundamental results of Harish-Chandra on the general structure of infinite-dimensional representations and the Langlands classification. Additional contributions outline developments in four of the most active areas of research over the past 20 years. The clearly written articles present results to date, as follows: R. Zierau and L. Barchini discuss the construction of representations on Dolbeault cohomology spaces. D. Vogan describes the status of the Kirillov-Kostant ``philosophy of coadjoint orbits'' for unitary representations. K. Vilonen presents recent advances in the Beilinson-Bernstein theory of ``localization''. And Jian-Shu Li covers Howe's theory of ``dual reductive pairs''. Each contributor to the volume presents the topics in a unique, comprehensive, and accessible manner geared toward advanced graduate students and researchers. Students should have completed the standard introductory graduate courses for full comprehension of the work. The book would also serve well as a supplementary text for a course on introductory infinite-dimensional representation theory. 26 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		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), Réserver Ajouter au panier (Supprimer)