Differential Invariants of Prehomogeneous Vector Spaces

Differential Invariants of Prehomogeneous Vector Spaces
Author :
Publisher : Logos Verlag Berlin GmbH
Total Pages : 209
Release :
ISBN-10 : 9783832548940
ISBN-13 : 3832548947
Rating : 4/5 (40 Downloads)

Synopsis Differential Invariants of Prehomogeneous Vector Spaces by : Christian Barz

Differential invariants of prehomogeneous vector spaces studies in detail two differential invariants of a discriminant divisor of a prehomogeneous vector space. The Bernstein-Sato polynomial and the spectrum, which encode the monodromy and Hodge theoretic informations of an associated Gauss-Manin system. The theoretical results are applied to discriminants in the representation spaces of the Dynkin quivers An, Dn, E6, E7 and three non classical series of quiver representations.

Introduction to Prehomogeneous Vector Spaces

Introduction to Prehomogeneous Vector Spaces
Author :
Publisher : American Mathematical Soc.
Total Pages : 318
Release :
ISBN-10 : 0821827677
ISBN-13 : 9780821827673
Rating : 4/5 (77 Downloads)

Synopsis Introduction to Prehomogeneous Vector Spaces by : Tatsuo Kimura

This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato. The author was an early and important developer of the theory and continues to be active in the field. The subject combines elements of several areas of mathematics, such as algebraic geometry, Lie groups, analysis, number theory, and invariant theory. An important objective is to create applications to number theory. For example, one of the key topics is that of zeta functions attached to prehomogeneous vector spaces; these are generalizations of the Riemann zeta function, a cornerstone of analytic number theory. Prehomogeneous vector spaces are also of use in representation theory, algebraic geometry and invariant theory. This book explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces and a classification theory of irreducible prehomogeneous vector spaces. It strives, and to a large extent succeeds, in making this content, which is by its nature fairly technical, self-contained and accessible. The first section of the book, "Overview of the theory and contents of this book," Is particularly noteworthy as an excellent introduction to the subject.

Selected Papers on Harmonic Analysis, Groups, and Invariants

Selected Papers on Harmonic Analysis, Groups, and Invariants
Author :
Publisher : American Mathematical Soc.
Total Pages : 160
Release :
ISBN-10 : 0821808400
ISBN-13 : 9780821808405
Rating : 4/5 (00 Downloads)

Synopsis Selected Papers on Harmonic Analysis, Groups, and Invariants by : Katsumi Nomizu

The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.

Algebraic Approach To Differential Equations

Algebraic Approach To Differential Equations
Author :
Publisher : World Scientific
Total Pages : 320
Release :
ISBN-10 : 9789814467964
ISBN-13 : 9814467960
Rating : 4/5 (64 Downloads)

Synopsis Algebraic Approach To Differential Equations by : Dung Trang Le

Mixing elementary results and advanced methods, Algebraic Approach to Differential Equations aims to accustom differential equation specialists to algebraic methods in this area of interest. It presents material from a school organized by The Abdus Salam International Centre for Theoretical Physics (ICTP), the Bibliotheca Alexandrina, and the International Centre for Pure and Applied Mathematics (CIMPA).

数理科学講究錄

数理科学講究錄
Author :
Publisher :
Total Pages : 724
Release :
ISBN-10 : UOM:39015050438343
ISBN-13 :
Rating : 4/5 (43 Downloads)

Synopsis 数理科学講究錄 by :

Quantum Bounded Symmetric Domains

Quantum Bounded Symmetric Domains
Author :
Publisher : American Mathematical Soc.
Total Pages : 272
Release :
ISBN-10 : 9780821849095
ISBN-13 : 0821849093
Rating : 4/5 (95 Downloads)

Synopsis Quantum Bounded Symmetric Domains by : Leonid Lʹvovych Vaksman

Explores the basic theory of quantum bounded symmetric domains. The area became active in the late 1990s at a junction of noncommutative complex analysis and extensively developing theory of quantum groups. In a surprising advance of the theory of quantum bounded symmetric domains, it turned out that many classical problems admit elegant quantum analogs. Some of those are expounded in the book.

Commutative Algebra and Noncommutative Algebraic Geometry

Commutative Algebra and Noncommutative Algebraic Geometry
Author :
Publisher : Cambridge University Press
Total Pages : 463
Release :
ISBN-10 : 9781107065628
ISBN-13 : 1107065623
Rating : 4/5 (28 Downloads)

Synopsis Commutative Algebra and Noncommutative Algebraic Geometry by : David Eisenbud

This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.

Algebraic Analysis

Algebraic Analysis
Author :
Publisher : Academic Press
Total Pages : 501
Release :
ISBN-10 : 9781483267944
ISBN-13 : 1483267946
Rating : 4/5 (44 Downloads)

Synopsis Algebraic Analysis by : Masaki Kashiwara

Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume II is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato’s 60th birthday. This volume is divided into 29 chapters and starts with research works concerning the fundamentals of KP equations, strings, Schottky problem, and the applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations,. The subsequent chapters contain papers on the approach to nonlinear integrable systems, the Hodge numbers, the stochastic different equation for the multi-dimensional weakly stationary process, and a method of harmonic analysis on semisimple symmetric spaces. These topics are followed by studies on the quantization of extended vortices, moduli space for Fuchsian groups, microfunctions for boundary value problems, and the issues of multi-dimensional integrable systems. The remaining chapters explore the practical aspects of pseudodifferential operators in hyperfunction theory, the elliptic solitons, and Carlson’s theorem for holomorphic functions. This book will prove useful to mathematicians and advance mathematics students.

Graduate Programs in the Physical Sciences, Mathematics, Agricultural Sciences, the Environment & Natural Resources 2011 (Grad 4)

Graduate Programs in the Physical Sciences, Mathematics, Agricultural Sciences, the Environment & Natural Resources 2011 (Grad 4)
Author :
Publisher : Peterson's
Total Pages : 2669
Release :
ISBN-10 : 9780768930900
ISBN-13 : 0768930901
Rating : 4/5 (00 Downloads)

Synopsis Graduate Programs in the Physical Sciences, Mathematics, Agricultural Sciences, the Environment & Natural Resources 2011 (Grad 4) by : Peterson's

Peterson's Graduate Programs in the Physical Sciences, Mathematics, Agricultural Sciences, the Environment & Natural Resources contains a wealth of information on colleges and universities that offer graduate work in these exciting fields. The institutions listed include those in the United States and Canada, as well international institutions that are accredited by U.S. accrediting bodies. Up-to-date information, collected through Peterson's Annual Survey of Graduate and Professional Institutions, provides valuable information on degree offerings, professional accreditation, jointly offered degrees, part-time and evening/weekend programs, postbaccalaureate distance degrees, faculty, students, degree requirements, entrance requirements, expenses, financial support, faculty research, and unit head and application contact information. Readers will find helpful links to in-depth descriptions that offer additional detailed information about a specific program or department, faculty members and their research, and much more. In addition, there are valuable articles on financial assistance, the graduate admissions process, advice for international and minority students, and facts about accreditation, with a current list of accrediting agencies.

Peterson's Graduate Programs Programs in Mathematics 2011

Peterson's Graduate Programs Programs in Mathematics 2011
Author :
Publisher : Peterson's
Total Pages : 577
Release :
ISBN-10 : 9780768934571
ISBN-13 : 0768934575
Rating : 4/5 (71 Downloads)

Synopsis Peterson's Graduate Programs Programs in Mathematics 2011 by : Peterson's

Peterson's Graduate Programs in Mathematics contains a wealth of information on colleges and universities that offer graduate work in Applied Mathematics, Applied Statistics, Biomathematics, Biometry, Biostatistics, Computational Sciences, Mathematical and Computational Finance, Mathematics, and Statistics. The institutions listed include those in the United States, Canada, and abroad that are accredited by U.S. accrediting bodies. Up-to-date information, collected through Peterson's Annual Survey of Graduate and Professional Institutions, provides valuable information on degree offerings, professional accreditation, jointly offered degrees, part-time and evening/weekend programs, postbaccalaureate distance degrees, faculty, students, degree requirements, entrance requirements, expenses, financial support, faculty research, and unit head and application contact information. Readers will find helpful links to in-depth descriptions that offer additional detailed information about a specific program or department, faculty members and their research, and much more.In addition, there are valuable articles on financial assistance, the graduate admissions process, advice for international and minority students, and facts about accreditation, with a current list of accrediting agencies.