Representation Theory : A Homological Algebra Point of View
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The work Representation Theory : A Homological Algebra Point of View represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.
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Representation Theory : A Homological Algebra Point of View
Resource Information
The work Representation Theory : A Homological Algebra Point of View represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.
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 Representation Theory : A Homological Algebra Point of View
 Title remainder
 A Homological Algebra Point of View
 Statement of responsibility
 by Alexander Zimmermann
 Language
 eng
 Summary
 Introducing the representation theory of groups and finite dimensional algebras, this book first studies basic noncommutative ring theory, covering the necessary background of elementary homological algebra and representations of groups to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field. Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given  such as the structure of blocks of cyclic defect groups  whenever appropriate. Overall, many methods from the representation theory of algebras are introduced. Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields, and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for selfstudy as well as for classroom use
 Cataloging source
 ITFiEUI
 Image bit depth
 0
 Literary form
 non fiction
 Series statement

 Algebra and Applications,
 Springer eBooks
 Series volume
 19
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/resource/01021nhWK7I/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/resource/01021nhWK7I/">Representation Theory : A Homological Algebra Point of View</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>