Lectures on the Asymptotic Theory of Ideals PDF Download
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Author: D. Rees
Publisher: Cambridge University Press
ISBN: 0521311276
Category : Mathematics
Languages : en
Pages : 216
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Book Description
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.
Author: D. Rees
Publisher: Cambridge University Press
ISBN: 0521311276
Category : Mathematics
Languages : en
Pages : 216
Get Book Here
Book Description
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.
Author: S. Barry Cooper
Publisher: Cambridge University Press
ISBN: 0521635500
Category : Computers
Languages : en
Pages : 433
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Book Description
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
Author: Ian F. Blake
Publisher: Cambridge University Press
ISBN: 9780521653749
Category : Computers
Languages : en
Pages : 228
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Book Description
This book summarizes knowledge built up within Hewlett-Packard over a number of years, and explains the mathematics behind practical implementations of elliptic curve systems. Due to the advanced nature of the mathematics there is a high barrier to entry for individuals and companies to this technology. Hence this book will be invaluable not only to mathematicians wanting to see how pure mathematics can be applied but also to engineers and computer scientists wishing (or needing) to actually implement such systems.
Author: Stephen Donkin
Publisher: Cambridge University Press
ISBN: 0521645581
Category : Mathematics
Languages : en
Pages : 193
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Book Description
This book focuses on the representation theory of q-Schur algebras and connections with the representation theory of Hecke algebras and quantum general linear groups. The aim is to present, from a unified point of view, quantum analogs of certain results known already in the classical case. The approach is largely homological, based on Kempf's vanishing theorem for quantum groups and the quasi-hereditary structure of the q-Schur algebras. Beginning with an introductory chapter dealing with the relationship between the ordinary general linear groups and their quantum analogies, the text goes on to discuss the Schur Functor and the 0-Schur algebra. The next chapter considers Steinberg's tensor product and infinitesimal theory. Later sections of the book discuss tilting modules, the Ringel dual of the q-Schur algebra, Specht modules for Hecke algebras, and the global dimension of the q-Schur algebras. An appendix gives a self-contained account of the theory of quasi-hereditary algebras and their associated tilting modules. This volume will be primarily of interest to researchers in algebra and related topics in pure mathematics.
Author: Alessandro Figá-Talamanca
Publisher: Cambridge University Press
ISBN: 0521424445
Category : Mathematics
Languages : en
Pages : 165
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Book Description
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.
Author: C. D. Wensley
Publisher: Cambridge University Press
ISBN: 9780521540124
Category : Mathematics
Languages : en
Pages : 382
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Book Description
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.
Author: Shahn Majid
Publisher: Cambridge University Press
ISBN: 0521010411
Category : Mathematics
Languages : en
Pages : 183
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Book Description
Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.
Author: Peter A. Clarkson
Publisher: Cambridge University Press
ISBN: 9780521596992
Category : Mathematics
Languages : en
Pages : 444
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Book Description
This volume comprises state-of-the-art articles in discrete integrable systems.
Author: C. Ward Henson
Publisher: Cambridge University Press
ISBN: 9780521648615
Category : Mathematics
Languages : en
Pages : 286
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Book Description
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.
Author: Yair N. Minsky
Publisher: Cambridge University Press
ISBN: 1139447211
Category : Mathematics
Languages : en
Pages : 399
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Book Description
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.
