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Author: David Hilbert
Publisher: Cambridge University Press
ISBN: 9780521449038
Category : Mathematics
Languages : en
Pages : 212
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Book Description
An English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen.
Author: David Hilbert
Publisher: Cambridge University Press
ISBN: 9780521449038
Category : Mathematics
Languages : en
Pages : 212
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Book Description
An English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen.
Author: David Hilbert
Publisher: Springer Science & Business Media
ISBN: 3662035456
Category : Mathematics
Languages : en
Pages : 360
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Book Description
A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.
Author: T.A. Springer
Publisher: Springer
ISBN: 3540373705
Category : Mathematics
Languages : en
Pages : 118
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Book Description
Author: Igor Dolgachev
Publisher: Cambridge University Press
ISBN: 9780521525480
Category : Mathematics
Languages : en
Pages : 244
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Book Description
The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
Author: Frank D. Grosshans
Publisher: Springer
ISBN: 3540696172
Category : Mathematics
Languages : en
Pages : 158
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Book Description
The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics.
Author: John Hilton Grace
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 410
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Book Description
Author: H.E.A. Eddy Campbell
Publisher: Springer Science & Business Media
ISBN: 3642174043
Category : Mathematics
Languages : en
Pages : 233
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Book Description
This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers—an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.
Author: Marcos Marino
Publisher: Springer
ISBN: 3540798145
Category : Mathematics
Languages : en
Pages : 210
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Book Description
Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.
Author: Bernd Sturmfels
Publisher: Springer Science & Business Media
ISBN: 3211774173
Category : Mathematics
Languages : en
Pages : 202
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Book Description
This book is both an easy-to-read textbook for invariant theory and a challenging research monograph that introduces a new approach to the algorithmic side of invariant theory. Students will find the book an easy introduction to this "classical and new" area of mathematics. Researchers in mathematics, symbolic computation, and computer science will get access to research ideas, hints for applications, outlines and details of algorithms, examples and problems.
Author: Shigeru Mukai
Publisher: Cambridge University Press
ISBN: 9780521809061
Category : Mathematics
Languages : en
Pages : 528
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Book Description
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