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Titlebook: Noncommutative Algebraic Geometry and Representations of Quantized Algebras; Alexander L. Rosenberg Book 1995 Springer Science+Business Me

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發(fā)表于 2025-3-21 19:37:55 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Noncommutative Algebraic Geometry and Representations of Quantized Algebras
編輯Alexander L. Rosenberg
視頻videohttp://file.papertrans.cn/668/667187/667187.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Noncommutative Algebraic Geometry and Representations of Quantized Algebras;  Alexander L. Rosenberg Book 1995 Springer Science+Business Me
描述This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93. Formally, the book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.). It is helpful, however, to know some basics of algebraic geometry and representation theory. Each chapter begins with its own introduction, and most sections even have a short overview. The purpose of what follows is to explain the spirit of the book and how different parts are linked together without entering into details. The point of departure is the notion of the left spectrum of an associative ring, and the first natural steps of general theory of noncommutative affine, quasi-affine, and projective schemes. This material is presented in Chapter I. Further developments originated from the requirements of several important examples I tried to understand, to begin with the first Weyl algebra and the quantum plane. The book reflects these developments as I worked them out in reallife and in my lectures. In Chapter 11, we study the left spectrum and irreducible representations of a whole lot of rings which are of interest for modern
出版日期Book 1995
關鍵詞Abelian category; Algebraic K-theory; Dimension; Grad; K-theory; algebra; algebraic geometry; associative r
版次1
doihttps://doi.org/10.1007/978-94-015-8430-2
isbn_softcover978-90-481-4577-5
isbn_ebook978-94-015-8430-2
copyrightSpringer Science+Business Media Dordrecht 1995
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沙發(fā)
發(fā)表于 2025-3-21 22:23:23 | 只看該作者
Book 1995e book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.). It is helpful, however, to know some basics of algebraic geometry and representation theory. Each chapter begins with its own introduction, and most sections even have a short overview. The purpose
板凳
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地板
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Noncommutative Local Algebra, to be excellent in commutative and graded-commutative geometries. But even the simplest non-affine spaces that come into view in the non(graded)commutative case — analogs of quasi-affine schemes and projective spectra — very rarely can be covered with open affine subschemes.
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978-90-481-4577-5Springer Science+Business Media Dordrecht 1995
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Noncommutative Local Algebra and Representations of certain rings of mathematical physics,The Weyl algebra is one of the most important objects in mathematical physics and representation theory of Lie groups and Kac-Moody algebras.
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