Representations Of Infinite Dimensional Groups PDF Download
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| Author | : John C. Baez |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 133 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0821872842 |
Download Infinite-Dimensional Representations of 2-Groups Book in PDF, ePub and Kindle
Just as groups can have representations on vector spaces, 2-groups have representations on 2-vector spaces, but Lie 2-groups typically have few representations on the finite-dimensional 2-vector spaces introduced by Kapranov and Voevodsky. Therefore, Crane, Sheppeard, and Yetter introduced certain infinite-dimensional 2-vector spaces, called measurable categories, to study infinite-dimensional representations of certain Lie 2-groups, and German and North American mathematicians continue that work here. After introductory matters, they cover representations of 2-groups, and measurable categories, representations on measurable categories. There is no index. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com).
| Author | : Raymond C. Fabec |
| Publisher | : CRC Press |
| Total Pages | : 309 |
| Release | : 2018-10-03 |
| Genre | : Mathematics |
| ISBN | : 1351990217 |
Download Fundamentals of Infinite Dimensional Representation Theory Book in PDF, ePub and Kindle
Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents new and old results in a coherent and natural manner and studies a number of tools useful in various areas of this diversely applied subject. From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert algebras, the author's self-contained treatment allows readers to choose from a wide variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text for those requiring a background in group-operator algebra representation theory, for careful readers, this monograph helps reveal not only the subject's utility, but also its inherent beauty.
| Author | : Victor Kac |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 406 |
| Release | : 1985-10-14 |
| Genre | : Mathematics |
| ISBN | : 9780387962160 |
Download Infinite Dimensional Groups with Applications Book in PDF, ePub and Kindle
This volume records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10-May 15, 1984, as a part of the special program on Kac-Moody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinite-dimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors for their manuscripts, and to Springer-Verlag for publishing this volume. V. Kac INFINITE DIMENSIONAL GROUPS WITH APPLICATIONS CONTENTS The Lie Group Structure of M. Adams. T. Ratiu 1 Diffeomorphism Groups and & R. Schmid Invertible Fourier Integral Operators with Applications On Landau-Lifshitz Equation and E. Date 71 Infinite Dimensional Groups Flat Manifolds and Infinite D. S. Freed 83 Dimensional Kahler Geometry Positive-Energy Representations R. Goodman 125 of the Group of Diffeomorphisms of the Circle Instantons and Harmonic Maps M. A. Guest 137 A Coxeter Group Approach to Z. Haddad 157 Schubert Varieties Constructing Groups Associated to V. G. Kac 167 Infinite-Dimensional Lie Algebras I. Kaplansky 217 Harish-Chandra Modules Over the Virasoro Algebra & L. J. Santharoubane 233 Rational Homotopy Theory of Flag S.
| Author | : Boris Khesin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 304 |
| Release | : 2008-09-28 |
| Genre | : Mathematics |
| ISBN | : 3540772634 |
Download The Geometry of Infinite-Dimensional Groups Book in PDF, ePub and Kindle
This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
| Author | : Rais Salmanovich Ismagilov |
| Publisher | : |
| Total Pages | : |
| Release | : 1996 |
| Genre | : Lie groups |
| ISBN | : 9781470445676 |
Download Representations of Infinite-dimensional Groups Book in PDF, ePub and Kindle
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.
| Author | : Augustin Banyaga |
| Publisher | : World Scientific |
| Total Pages | : 174 |
| Release | : 2002-07-12 |
| Genre | : Science |
| ISBN | : 9814488143 |
Download Infinite Dimensional Lie Groups In Geometry And Representation Theory Book in PDF, ePub and Kindle
This book constitutes the proceedings of the 2000 Howard conference on “Infinite Dimensional Lie Groups in Geometry and Representation Theory”. It presents some important recent developments in this area. It opens with a topological characterization of regular groups, treats among other topics the integrability problem of various infinite dimensional Lie algebras, presents substantial contributions to important subjects in modern geometry, and concludes with interesting applications to representation theory. The book should be a new source of inspiration for advanced graduate students and established researchers in the field of geometry and its applications to mathematical physics.
| Author | : Johnny T. Ottesen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 223 |
| Release | : 2008-09-11 |
| Genre | : Science |
| ISBN | : 3540491414 |
Download Infinite Dimensional Groups and Algebras in Quantum Physics Book in PDF, ePub and Kindle
The idea of writing this book appeared when I was working on some problems related to representations of physically relevant infinite - mensional groups of operators on physically relevant Hilbert spaces. The considerations were local, reducing the subject to dealing with representations of infinite-dimensional Lie algebras associated with the associated groups. There is a large number of specialized articles and books on parts of this subject, but to our suprise only a few represent the point of view given in this book. Moreover, none of the written material was self-contained. At present, the subject has not reached its final form and active research is still being undertaken. I present this subject of growing importance in a unified manner and by a fairly simple approach. I present a route by which students can absorb and understand the subject, only assuming that the reader is familliar with functional analysis, especially bounded and unbounded operators on Hilbert spaces. Moreover, I assume a little basic knowledge of algebras , Lie algebras, Lie groups, and manifolds- at least the definitions. The contents are presented in detail in the introduction in Chap. The manuscript of this book has been succesfully used by some advanced graduate students at Aarhus University, Denmark, in their "A-exame'. I thank them for comments.
| Author | : Victor G. Kac |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 267 |
| Release | : 2013-11-09 |
| Genre | : Mathematics |
| ISBN | : 1475713827 |
Download Infinite Dimensional Lie Algebras Book in PDF, ePub and Kindle
| Author | : Alexei Borodin |
| Publisher | : Cambridge University Press |
| Total Pages | : 169 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 1107175550 |
Download Representations of the Infinite Symmetric Group Book in PDF, ePub and Kindle
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
| Author | : Victor G Kac |
| Publisher | : World Scientific |
| Total Pages | : 642 |
| Release | : 1989-07-01 |
| Genre | : |
| ISBN | : 9814663174 |
Download Infinite Dimensional Lie Algebras And Groups Book in PDF, ePub and Kindle
Contents:Integrable Representation of Kac-Moody Algebras: Results and Open Problems (V Chari & A Pressley)Existence of Certain Components in the Tensor Product of Two Integrable Highest Weight Modules for Kac-Moody Algebras (SKumar)Frobenius Action on the B-Cohomology (O Mathieu)Certain Rank Two Subsystems of Kac-Moody Root Systems (J Morita)Lie Groups Associated to Kac-Moody Lie Algebras: An Analytic Approach (E Rodriguez-Carrington)Almost Split-K-Forms of Kac-Moody Algebras (G Rousseau)Global Representations of the Diffeomorphism Groups of the Circle (F Bien)Path Space Realization of the Basic Representation of An(1) (E Date et al)Boson-Fermion Correspondence Over (C De Concini et al)Classification of Modular Invariant Representations of Affine Algebras (V G Kac & M Wakimoto)Standard Monomial Theory for SL2 (V Lakshmibai & C S Seshadri)Some Results on Modular Invariant Representations (S Lu)Current Algebras in 3+1 Space-Time Dimensions (J Mickelson)Standard Representations of An(1) (M Primc)Representations of the Algebra Uq(sI(2)), q-Orthogonal Polynomials and Invariants of Links (A N Kirillov & N Yu Reshetikhin)Infinite Super Grassmannians and Super Plücker Equations (M J Bergvelt)Drinfeld-Sokolov Hierarchies and t-Functions (H J Imbens)Super Boson-Fermion Correspondence of Type B (V G Kac & J W van de Leur)Prym Varieties and Soliton Equations (T Shiota)Polynomial Solutions of the BKP Hierarchy and Projective Representations of Symmetric Groups (Y You)Toward Generalized Macdonald's Identities (D Bernard)Conformal Theories with Non-Linearly Extended Virasoro Symmetries and Lie Algebra Classification (A Bilal & J-LGervais)Extended Conformal Algebras from Kac-Moody Algebras (P Bouwknegt)Meromorphic Conformal Field Theory (P Goddard)Local Extensions of the U(1) Current Algebra and Their Positive Energy Representations (R R Paunov & I T Todorov)Conformal Field Theory on Moduli Family of Stable Curves with Gauge Symmetries (A Tsuchiya & Y Yamada) Readership: Mathematicians and mathematical physicists
