Geometric Analysis and Lie Theory in Mathematics and Physics

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Alan L. Carey (University of Adelaide) Michael K. Murray (University of Adelaide)

Geometric Analysis and Lie Theory in Mathematics and Physics

Alan L. Carey (University of Adelaide), Michael K. Murray (University of Adelaide), Philip Broadbridge , Chris Heyde

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English

Cambridge University Press
15 December 1997

Algebra; Differential & Riemannian geometry

Series: Australian Mathematical Society Lecture Series

This book brings together a selection of the best lectures from many graduate workshops held at the Australian National Institute for Theoretical Physics in Adelaide. The lectures presented here describe subjects currently of great interest, generally at the interface between mathematics and physics, and also where suitable expositions did not previously exist at a level suitable for graduate students. Topics covered include quantum groups, the operator algebra approach to the integer quantum Hall effect, solvable lattice models and Hecke algebras, Yangevins, equivariant cohomology and symplectic geometry, and von Neumann invariants of covering spaces.

Edited by: Alan L. Carey (University of Adelaide), Michael K. Murray (University of Adelaide)
Series edited by: Philip Broadbridge, Chris Heyde, Charles Pearce
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 11
Dimensions: Height: 229mm, Width: 152mm, Spine: 17mm
Weight: 405g
ISBN: 9780521624909
ISBN 10: 0521624908
Series: Australian Mathematical Society Lecture Series
Pages: 304
Publication Date: 15 December 1997
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Applications of equivariant cohomology to symplectic geometry and moduli spaces L. Jeffrey and F. Kirwan; 2. Quantum groups: a survey of definitions, motivations and results A. Ram; 3. Spinon decomposition and Yangian structure of sln modules P. Bouwknegt and K. Schoutens; 4. Geometry and the integer quantum Hall effect P. McCann; 5. L2 invariants of covering spaces V. Mathai; 6. Combinatorics of solvable lattice models, and modular representations of Hecke algebras O. Foda et al.

Reviews for Geometric Analysis and Lie Theory in Mathematics and Physics

'The presented selection of the best survey lectures among many graduate workshops held in Adelaide treats very interesting topics for current research and can be recommended to all readers interested in this modern field of mathematics.' European Mathematical Society