| 書目名稱 | Linear Representations of Groups | | 編輯 | Ernest B. Vinberg | | 視頻video | http://file.papertrans.cn/587/586412/586412.mp4 | | 叢書名稱 | Birkh?user Advanced Texts‘ Basler Lehrbücher | | 圖書封面 |  | | 描述 | This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the- 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 field under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of finite 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 ap- plied branches of algebra. Practically every time that groups are encountered, their linear representations play a | | 出版日期 | Textbook 1989 | | 關(guān)鍵詞 | Finite; Lie; finite group; function; function space; functions; homomorphism; lie group; matrix; presentation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-9274-2 | | isbn_ebook | 978-3-0348-9274-2Series ISSN 1019-6242 Series E-ISSN 2296-4894 | | issn_series | 1019-6242 | | copyright | Birkh?user Verlag, Basel 1989 |
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