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Titlebook: Nilpotent Orbits, Primitive Ideals, and Characteristic Classes; A Geometric Perspect W. Borho,J-L. Brylinski,R. MacPherson Book 1989 Birkhä

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书目名称Nilpotent Orbits, Primitive Ideals, and Characteristic Classes
副标题A Geometric Perspect
编辑W. Borho,J-L. Brylinski,R. MacPherson
视频videohttp://file.papertrans.cn/667/666577/666577.mp4
丛书名称Progress in Mathematics
图书封面Titlebook: Nilpotent Orbits, Primitive Ideals, and Characteristic Classes; A Geometric Perspect W. Borho,J-L. Brylinski,R. MacPherson Book 1989 Birkhä
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.
出版日期Book 1989
关键词Algebra; Cohomology; Group representation; Irreducibility; cls; homomorphism; ring theory
版次1
doihttps://doi.org/10.1007/978-1-4612-4558-2
isbn_softcover978-1-4612-8910-4
isbn_ebook978-1-4612-4558-2Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkhäuser Boston, Inc. 1989
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发表于 2025-3-21 21:11:48 | 显示全部楼层
Book 1989 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.
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Characteristic Classes and Primitive Ideals,e of weight λ). Then the center of .(.) is a polynomial ring in dim (T) variables (Harish—Chandra, Chevalley); this center acts by a character on L(λ) which is denoted .; we note that by Harish—Chandra’s theorem, .=. if and only if . = w.λ, for some Weyl group element w ∈ W, where the “shifted Weyl
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0743-1643 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.978-1-4612-8910-4978-1-4612-4558-2Series ISSN 0743-1643 Series E-ISSN 2296-505X
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W. Borho,J-L. Brylinski,R. MacPhersonhors, the members of the Local Committee, Scientific Committee, Organizing Committee, and the sponsors (Texas A&M University ofQatar, AIR Institute and the IoT Digital Innovation Hub) for their hard work and dedication..978-3-030-78900-8978-3-030-78901-5Series ISSN 2367-3370 Series E-ISSN 2367-3389
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W. Borho,J-L. Brylinski,R. MacPhersonmillion population. India too is experiencing the upsurge of population especially in urban areas. To accommodate and resolve the problems associated with rapid urbanization, the Government of India has planned to build hundred new Smart cities.Building Smart cities in India is challenging yet imper
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