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"Nilpotent Orbits, Primitive Ideals, and Characteristic Classes": A Geometric Perspective In Ring Theory 🔍
W. Borho, J-L. Brylinski, R. MacPherson (auth.) Birkhäuser Basel, Progress in Mathematics 78, 1, 1989
英语 [en] · PDF · 2.9MB · 1989 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development. - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n,C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem. - The classification of irreducible Weyl group representations is quite old.
Erscheinungsdatum: 05.10.2011
备用文件名
lgrsnf/A:\compressed\10.1007%2F978-1-4612-4558-2.pdf
备用文件名
nexusstc/Nilpotent Orbits, Primitive Ideals, and Characteristic Classes: A Geometric Perspective in Ring Theory/fe884b2f30499eeef19079073e5672ec.pdf
备用文件名
scihub/10.1007/978-1-4612-4558-2.pdf
备用文件名
zlib/Science (General)/W. Borho, J-L. Brylinski, R. MacPherson (auth.)/Nilpotent Orbits, Primitive Ideals, and Characteristic Classes: A Geometric Perspective in Ring Theory_2128547.pdf
备选作者
Walter Borho; Jean-Luc Brylinski; Robert MacPherson
备选作者
W. Borho, R. MacPherson, J.-L. Brylinski
备用出版商
Springer-Verlag New York, LLC
备用出版商
Birkhäuser Boston
备用出版商
Birkhauser Verlag
备用出版商
Birkhaüser
备用版本
Progress in mathematics ;, v. 78, Progress in mathematics (Boston, Mass.) ;, vol. 78., Boston, Massachusetts, 1989
备用版本
Progress in mathematics, vol. 78, Boston ; Basel ; Berlin, 1989
备用版本
United States, United States of America
备用版本
Springer Nature, Boston, MA, 2012
备用版本
1989, December 1989
备用版本
Oct 05, 2011
备用版本
1, 2011
元数据中的注释
lg974628
元数据中的注释
{"edition":"1","isbns":["0817634738","1461245583","1461289106","9780817634735","9781461245582","9781461289104"],"last_page":134,"publisher":"Birkhäuser Basel","series":"Progress in Mathematics 78"}
元数据中的注释
Includes bibliographical references (p. 124-131).
元数据中的注释
Source title: "Nilpotent Orbits, Primitive Ideals, and Characteristic Classes": A Geometric Perspective In Ring Theory (Progress in Mathematics)
备用描述
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development. - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n,C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem. - The classification of irreducible Weyl group representations is quite old.
Erscheinungsdatum: 01.12.1989
备用描述
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development. - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n, C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem. - The classification of irreducible Weyl group representations is quite old
备用描述
Front Matter....Pages i-vii
Introduction....Pages 1-9
A Description of Springer’s Weyl Group Representations in Terms of Characteristic Classes of Cone Bundles....Pages 10-30
Generalities on equivariant K—theory....Pages 31-44
Equivariant K—theory of torus actions and formal characters....Pages 45-67
Equivariant characteristic classes of orbital cone bundles....Pages 68-94
Characteristic Classes and Primitive Ideals....Pages 95-123
Back Matter....Pages 124-134
开源日期
2013-08-01
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