Highest Weight Representations Of Infinite Dimensional Lie Algebra: 2 (Advanced Series In Mathematical Physics) - Image 1

£63.71

World Scientific Publishing Company Highest Weight Representations Of Infinite Dimensional Lie Algebra: 2 (Advanced Series In Mathematical Physics)

Name: Highest Weight Representations Of Infinite Dimensional Lie Algebra: 2 (Advanced Series In Mathematical Physics)
Brand: World Scientific Publishing Company
Price: 63.38 GBP
Availability: InStock

Engineering Physics

Price data last checked 8 day(s) ago - will refresh soon

View at Amazon

Price History & Forecast

Last 83 days • 83 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 83 days • 1 price levels

Days at Price

Price Analysis

Most common price: £63 (83 days, 100.0%)

Price range: £63 - £63

Price levels: 1 different prices over 83 days

Description

This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnationsThe first is the canonical commutation relations of the infinite-dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gl? of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These algebras appear in the lectures twice, in the reduction theory of soliton equations (Kp ? KdV) and in the Sugawara construction as the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. . This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite-dimensional Lie algebras; and to physicists, this theory is turning into an important component of such domains of theoretical physics as soliton theory, theory of two-dimensional statistical models, and string theory.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9971503956
Category: Books > Subjects > Science, Nature & Maths > Engineering & Technology > Engineering Physics
Domain: Amazon UK
Release Date: 01 April 1988
Listed Since: 12 February 2007

Barcode

No barcode data available

World Scientific Publishing Company Highest Weight Representations Of Infinite Dimensional Lie Algebra: 2 (Advanced Series In Mathematical Physics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Sugawara Operators for Classical Lie Algebras (Mathematical Surveys and Monographs)

KP Solitons and the Grassmannians: Combinatorics and Geometry of Two-Dimensional Wave Patterns: 22 (SpringerBriefs in Mathematical Physics, 22)

Representations of Lie Algebras and Partial Differential Equations

Classification and Identification of Lie Algebras (CRM Monograph Series)

TRENDS IN DIFFERENTIAL GEOMETRY, COMPLEX ANALYSIS AND MATHEMATICAL PHYSICS - PROCEEDINGS OF 9TH INTERNATIONAL WORKSHOP ON COMPLEX STRUCTURES, INTEGRABILITY AND VECTOR FIELDS

Geometric Algebra and Applications to Physics

Coherent States, Wavelets, and Their Generalizations (Theoretical and Mathematical Physics)

Symplectic Difference Systems: Oscillation and Spectral Theory (Pathways in Mathematics)

Integrable Systems, Geometry, and Topology (AMS/IP Studies in Advanced Mathematics)

Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models: 114 (Cambridge Studies in Advanced Mathematics, Series Number 114)

Infinite-dimensional Lie algebras

Theory of Lie Groups (PMS-8) (Princeton Mathematical Series, 8)

Integrable Hamiltonian Systems: Geometry, Topology, Classification

Time-Frequency Representations (Applied and Numerical Harmonic Analysis)

Continuous Groups for Physicists

Lagrangian Reduction by Stages (Memoirs of the American Mathematical Society)

Group Theory: Birdtracks, Lie's, and Exceptional Groups

Classical Solutions in Quantum Field Theory: Solitons and Instantons in High Energy Physics (Cambridge Monographs on Mathematical Physics)

The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group O (P,q): 1000 (Memoirs of the American Mathematical Society)

A Course in Mathematics for Students of Physics: Volume 2

Classical Solutions in Quantum Field Theory: Solitons and Instantons in High Energy Physics (Cambridge Monographs on Mathematical Physics)

Supersymmetric Solitons (Cambridge Monographs on Mathematical Physics)

Harmonic Analysis on Symmetric Spaces―Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

GROUP 24: Physical and Mathematical Aspects of Symmetries: Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, Paris, 15-20 July 2002