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video | http://file.papertrans.cn/667/666577/666577.mp4 | 丛书名称 | Progress in Mathematics | 图书封面 |  | 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 | doi | https://doi.org/10.1007/978-1-4612-4558-2 | isbn_softcover | 978-1-4612-8910-4 | isbn_ebook | 978-1-4612-4558-2Series ISSN 0743-1643 Series E-ISSN 2296-505X | issn_series | 0743-1643 | copyright | Birkhäuser Boston, Inc. 1989 |
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