A Journey Through Representation Theory ― From Finite Groups to Quivers Via Algebras
商品資訊
系列名：Universitext
ISBN13：9783319982694
出版社：Springer Nature
作者：Caroline Gruson; Vera Serganova
出版日：2018/11/09
裝訂／頁數：平裝／223頁
規格：22.9cm*15.2cm*1.3cm (高/寬/厚)
商品簡介
This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field.
The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter.
Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings.
作者簡介
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