Analysis On Infinite-dimensional Lie Groups And Algebras - Proceedings Of The International Colloquium

Analysis On Infinite-dimensional Lie Groups And Algebras - Proceedings Of The International Colloquium
Author: Jean Marion
Publisher: World Scientific
Total Pages: 410
Release: 1998-10-30
Genre:
ISBN: 9814544841

This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures. Topics covered in this volume include integrability and regularity for Lie groups and Lie algebras, actions of infinite-dimensional Lie groups on manifolds of paths and related minimal orbits, quasi-invariant measures, white noise analysis, harmonic analysis on generalized convolution structures, and noncommutative geometry. A special feature of this volume is the interrelationship between problems of pure and applied mathematics and also between mathematics and physics.

Analysis on Infinite-dimensional Lie Groups and Algebras

Analysis on Infinite-dimensional Lie Groups and Algebras
Author: Herbert Heyer
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 393
Release: 1998
Genre: Mathematics
ISBN: 9789810234720

This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures. Topics covered in this volume include integrability and regularity for Lie groups and Lie algebras, actions o infinite-dimensional Lie groups on manifolds of paths and related minimal orbits, quasi-invariant measures, white noise analysis, harmonic analysis on generalized convolution structures, and noncommutative geometry. A special feature of this volume is the interrelationship between problems of pure and applied mathematics and also between mathematics and physics.

Recent Developments in Infinite-dimensional Lie Algebras and Conformal Field Theory

Recent Developments in Infinite-dimensional Lie Algebras and Conformal Field Theory
Author: Stephen Berman
Publisher: American Mathematical Soc.
Total Pages: 348
Release: 2002
Genre: Mathematics
ISBN: 9780821856338

Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, ''Infinite-Dimensional Lie Theory and Conformal Field Theory'', held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field. Thisconference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlightedapplications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers.

Infinite Dimensional Harmonic Analysis Iv: On The Interplay Between Representation Theory, Random Matrices, Special Functions, And Probability - Proceedings Of The Fourth German-japanese Symposium

Infinite Dimensional Harmonic Analysis Iv: On The Interplay Between Representation Theory, Random Matrices, Special Functions, And Probability - Proceedings Of The Fourth German-japanese Symposium
Author: Joachim Hilgert
Publisher: World Scientific
Total Pages: 337
Release: 2008-11-26
Genre: Mathematics
ISBN: 9814470449

The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.

Infinite Dimensional Lie Algebras And Groups

Infinite Dimensional Lie Algebras And Groups
Author: Victor G Kac
Publisher: World Scientific
Total Pages: 642
Release: 1989-07-01
Genre:
ISBN: 9814663174

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

Quantum Probability And Related Topics - Proceedings Of The 30th Conference

Quantum Probability And Related Topics - Proceedings Of The 30th Conference
Author: Rolando Rebolledo
Publisher: World Scientific
Total Pages: 339
Release: 2011-01-19
Genre: Mathematics
ISBN: 9814462179

This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Jean Leray ’99 Conference Proceedings

Jean Leray ’99 Conference Proceedings
Author: Maurice de Gosson
Publisher: Springer Science & Business Media
Total Pages: 521
Release: 2013-11-11
Genre: Mathematics
ISBN: 9401720088

This volume contains papers presented at the first conference held to honor the memory of, arguably, the greatest mathematician of the twentieth century, Jean Leray. Contributors from all over the world have submitted their work to be included in this unique collection, and it reflects the esteem in which Jean Leray was, and still is held. The book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics. This volume will appeal to all those who acknowledge the value of Jean Leray's work in general, and students and researchers interested in analysis, topology and geometry, mathematical physics, classical mechanics and fluid mechanics and dynamics in particular.