Lectures on the Asymptotic Theory of Ideals
Lectures on the Asymptotic Theory of Ideals

Author: D. Rees

Publisher: Cambridge University Press

Published: 1988-11-25

Total Pages: 216

ISBN-13: 0521311276

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In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work is an expansion of lectures given at Nagoya University.

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

Author: Alessandro Figá-Talamanca

Publisher: Cambridge University Press

Published: 1991-06-28

Total Pages: 165

ISBN-13: 0521424445

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These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.

Surveys in Combinatorics 2003
Surveys in Combinatorics 2003

Author: C. D. Wensley

Publisher: Cambridge University Press

Published: 2003-07-24

Total Pages: 382

ISBN-13: 9780521540124

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The British Combinatorial Conference is held every two years and is a key event for mathematicians worldwide working in combinatorics. In June 2003 the conference was held at the University of Wales, Bangor. The papers contained here are surveys contributed by the invited speakers and are of the high quality that befits the event. There is also a tribute to Bill Tutte who had a long-standing association with the BCC. The papers cover topics currently attracting significant research interest as well as some less traditional areas such as the combinatorics of protecting digital content. They will form an excellent resource for established researchers as well as graduate students who will find much here to inspire future work.

A Quantum Groups Primer
A Quantum Groups Primer

Author: Shahn Majid

Publisher: Cambridge University Press

Published: 2002-04-04

Total Pages: 183

ISBN-13: 0521010411

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Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.

Analysis and Logic
Analysis and Logic

Author: C. Ward Henson

Publisher: Cambridge University Press

Published: 2002

Total Pages: 286

ISBN-13: 9780521648615

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This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics; many results are presented that have not been published before and open problems are formulated. Considerable effort has been made by the authors to integrate their articles and make them accessible to mathematicians new to the area.

Spaces of Kleinian Groups
Spaces of Kleinian Groups

Author: Yair N. Minsky

Publisher: Cambridge University Press

Published: 2006-06-19

Total Pages: 399

ISBN-13: 1139447211

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The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.