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Titlebook: Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action; Andrzej Białynicki-Birula,James B. C

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发表于 2025-3-21 19:28:21 | 显示全部楼层 |阅读模式
期刊全称Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action
影响因子2023Andrzej Białynicki-Birula,James B. Carrell,William
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发行地址Surveys on the current state of invariant theory.Includes supplementary material:
学科分类Encyclopaedia of Mathematical Sciences
图书封面Titlebook: Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action;  Andrzej Białynicki-Birula,James B. C
影响因子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.
Pindex Book 2002
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书目名称Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action影响因子(影响力)




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发表于 2025-3-21 20:42:39 | 显示全部楼层
发表于 2025-3-22 02:21:58 | 显示全部楼层
Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action
发表于 2025-3-22 06:57:58 | 显示全部楼层
The Adjoint Representation and the Adjoint Action,including some which are difficult to ferret out of the literature. Other results will be summarized with reasonably complete references. The treatment is a more comprehensive version of that in [CM93]; there is also some overlap with Humphreys’s book [Hu95]. In the last chapter we summarize some of
发表于 2025-3-22 09:32:31 | 显示全部楼层
Book 2002s 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
发表于 2025-3-22 16:47:32 | 显示全部楼层
Defining the Maqasid for Measurementn results of global character. The affine case should be considered rather as a part of Classical Invariant Theory, because translation of algebraic theory of rings of invariants into the geometric language is usually a matter of routine.
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发表于 2025-3-23 00:48:27 | 显示全部楼层
Quotients by Actions of Groups,n results of global character. The affine case should be considered rather as a part of Classical Invariant Theory, because translation of algebraic theory of rings of invariants into the geometric language is usually a matter of routine.
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