A Journey Through Representation Theory 2024 pdf epub mobi 电子书

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A Journey Through Representation Theory 2024 pdf epub mobi 电子书著者简介

Caroline Gruson is Professor of Mathematics at Université de Lorraine.

Vera Serganova is Professor of Mathematics at University of California, Berkeley.

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发表于2024-12-27

A Journey Through Representation Theory 2024 pdf epub mobi 电子书

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出版者:Springer

作者:Caroline Gruson

出品人:

页数:223

译者:

出版时间:2018-10-15

价格:0

装帧:Paperback

isbn号码:9783319982694

丛书系列:universitext

图书标签: 表示论数学

A Journey Through Representation Theory 2024 pdf epub mobi 电子书图书描述

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.

A Journey Through Representation Theory 2024 pdf epub mobi 电子书

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由Serganova的Math 252 notes演变而来，原名a sentimental journey through representation theory，致敬斯特恩《多情客游记》。主要脉络是有限群表示，紧群的酉表示，还有quiver表示，其中一部分从Zelevinsky的reps of classical finite groups: a Hopf algebra approach借鉴很多。

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