書目名稱 | Linear Representations of Groups | 副標(biāo)題 | Translated from the | 編輯 | Ernest B. Vinberg | 視頻video | http://file.papertrans.cn/587/586413/586413.mp4 | 概述 | Brief, modern and very readable introduction to representation theory of groups.Clear and concentrating on the essentials.Provides numerous examples and exercises, some with solutions.Includes supplem | 叢書名稱 | Modern Birkh?user Classics | 圖書封面 |  | 描述 | This book gives an exposition of the fundamentals of the theory of linear representations of ?nite and compact groups, as well as elements of the t- ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple and detailed an account as possible of the problems considered. The book therefore makes no claim to completeness. Also, it can in no way give a representative picture of the modern state of the ?eld under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of ?nite groups we recommend the book of C. W. Curtis and I. Reiner [2], and for the theory of representations of Lie groups, that of M. A. Naimark [6]. Introduction The theory of linear representations of groups is one of the most widely - pliedbranchesof algebra. Practically every timethatgroupsareencountered, their linear representations play an important r | 出版日期 | Book 1989 | 關(guān)鍵詞 | Laplace spherical functions; Representation theory; compact groups; finite groups; homomorphism; represen | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-0063-1 | isbn_softcover | 978-3-0348-0062-4 | isbn_ebook | 978-3-0348-0063-1Series ISSN 2197-1803 Series E-ISSN 2197-1811 | issn_series | 2197-1803 | copyright | Birkh?user Verlag 1989 |
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