Quotients

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Algebraic Quotients Torus Actions And Cohomology The Adjoint Representation And The Adjoint Action

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Author : A. Bialynicki-Birula
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Algebraic Quotients Torus Actions And Cohomology The Adjoint Representation And The Adjoint Action written by A. Bialynicki-Birula and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions of a semisimple Lie or algebraic group on its Lie algebra via the adjoint action and on itself via conjugation. His contribution focuses primarily on nilpotent orbits that have found the widest application to representation theory in the last thirty-five years.

Analytic Quotients

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Author : Ilijas Farah
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Analytic Quotients written by Ilijas Farah and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Algebra, Boolean categories.

This book is intended for graduate students and research mathematicians interested in set theory.

Compact Quotients Of Cahen Wallach Spaces

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Author : Ines Kath
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-02-13

Compact Quotients Of Cahen Wallach Spaces written by Ines Kath and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-13 with Education categories.

Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. The authors derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.

Rings Of Quotients

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Author : B. Stenström
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Rings Of Quotients written by B. Stenström and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The theory of rings of quotients has its origin in the work of (j). Ore and K. Asano on the construction of the total ring of fractions, in the 1930's and 40's. But the subject did not really develop until the end of the 1950's, when a number of important papers appeared (by R. E. Johnson, Y. Utumi, A. W. Goldie, P. Gabriel, J. Lambek, and others). Since then the progress has been rapid, and the subject has by now attained a stage of maturity, where it is possible to make a systematic account of it (which is the purpose of this book). The most immediate example of a ring of quotients is the field of fractions Q of a commutative integral domain A. It may be characterized by the two properties: (i) For every qEQ there exists a non-zero SEA such that qSEA. (ii) Q is the maximal over-ring of A satisfying condition (i). The well-known construction of Q can be immediately extended to the case when A is an arbitrary commutative ring and S is a multiplicatively closed set of non-zero-divisors of A. In that case one defines the ring of fractions Q = A [S-l] as consisting of pairs (a, s) with aEA and SES, with the declaration that (a, s)=(b, t) if there exists UES such that uta = usb. The resulting ring Q satisfies (i), with the extra requirement that SES, and (ii).

Tree Form Quotients As Variables In Volume Estimation

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Author : Gerald E. Hoyer
language : en
Publisher:
Release Date : 1985

Tree Form Quotients As Variables In Volume Estimation written by Gerald E. Hoyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Forests and forestry categories.

De procedure van de Duitser Hohenadl voor het bepalen van vormquotienten (afgeleid van diverse stamdiameters) en de boominhoud (ook afgeleid van stamdiameters op vastgestelde hoogtes) wordt behandeld. De procedure in gewijzigde vormen werd toegepast op gegevens van de Tsuga hetrophylla. De beschreven procedure blijkt ook voor andere boomsoorten toepasbaar

Quantization Of Singular Symplectic Quotients

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Author : N.P. Landsman
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Quantization Of Singular Symplectic Quotients written by N.P. Landsman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This is the first exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. The reader will acquire an introduction to the various techniques used in this area, as well as an overview of the latest research approaches. These involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry. Thus one will be amply prepared to follow future developments in this field.

The Geometry Of Some Special Arithmetic Quotients

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Author : Bruce Hunt
language : en
Publisher: Springer
Release Date : 2006-11-14

The Geometry Of Some Special Arithmetic Quotients written by Bruce Hunt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties. Many of these were known classically, but in the last chapter a new such variety, a quintic fourfold, is introduced and studied. The text will be of interest to all involved in the study of moduli spaces with symmetries, and contains in addition a wealth of material which has been only accessible in very old sources, including a detailed presentation of the solution of the equation of 27th degree for the lines on a cubic surface.

Quotients Of Coxeter Complexes And P Partitions

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Author : Victor Reiner
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Quotients Of Coxeter Complexes And P Partitions written by Victor Reiner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

This is a study of some of the combinatorial and topological properties of finite Coxeter complexes. The author begins by studying some of the general topological and algebraic properties of quotients of Coxeter complexes, and determines when they are pseudomanifolds (with or without boundary) and when they are Cohen-Macaulay or Gorenstein over a field. The paper also examines quotients of Coxeter complexes by cyclic subgroups generated by Coxeter elements.

Cohomology Of Quotients In Symplectic And Algebraic Geometry Mn 31 Volume 31

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Author : Frances Clare Kirwan
language : en
Publisher: Princeton University Press
Release Date : 2020-06-30

Cohomology Of Quotients In Symplectic And Algebraic Geometry Mn 31 Volume 31 written by Frances Clare Kirwan and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-30 with Mathematics categories.

These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their relevance to moduli problems in algebraic geometry. The author describes two different approaches to the problem. One is purely algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain degenerate functions.

Cohomology Of Quotients In Symplectic And Algebraic Geometry

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Author : Frances Clare Kirwan
language : en
Publisher: Princeton University Press
Release Date : 1984-12-21

Cohomology Of Quotients In Symplectic And Algebraic Geometry written by Frances Clare Kirwan and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-21 with Mathematics categories.

These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their relevance to moduli problems in algebraic geometry. The author describes two different approaches to the problem. One is purely algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain degenerate functions.