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Representation theory: a homological algebra point of view

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Beteilige Person:	Zimmermann, Alexander 1964- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cham [u.a.] Springer 2014
Schriftenreihe:	Algebra & applications 19
Links:	http://link.springer.com/book/10.1007/978-3-319-07968-4 http://link.springer.com/book/10.1007/978-3-319-07968-4 http://link.springer.com/book/10.1007/978-3-319-07968-4 http://link.springer.com/book/10.1007/978-3-319-07968-4 http://link.springer.com/book/10.1007/978-3-319-07968-4 http://link.springer.com/book/10.1007/978-3-319-07968-4 http://link.springer.com/book/10.1007/978-3-319-07968-4 http://link.springer.com/book/10.1007/978-3-319-07968-4 http://link.springer.com/book/10.1007/978-3-319-07968-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027520687&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027520687&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	1 Online-Ressource
ISBN:	9783319079677 9783319079684

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Datensatz im Suchindex

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adam_text	REPRESENTATION THEORY / ZIMMERMANN, ALEXANDER : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS RINGS, ALGEBRAS AND MODULES MODULAR REPRESENTATIONS OF FINITE GROUPS ABELIAN AND TRIANGULATED CATEGORIES MORITA THEORY STABLE MODULE CATEGORIES DERIVED EQUIVALENCES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. REPRESENTATION THEORY / ZIMMERMANN, ALEXANDER : 2014 ABSTRACT / INHALTSTEXT INTRODUCING THE REPRESENTATION THEORY OF GROUPS AND FINITE DIMENSIONAL ALGEBRAS, THIS BOOK FIRST STUDIES BASIC NON-COMMUTATIVE 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 SELF-STUDY AS WELL AS FOR CLASSROOM USE DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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series	Algebra & applications
series2	Algebra & applications
spellingShingle	Zimmermann, Alexander 1964- Representation theory a homological algebra point of view Algebra & applications
title	Representation theory a homological algebra point of view
title_auth	Representation theory a homological algebra point of view
title_exact_search	Representation theory a homological algebra point of view
title_full	Representation theory a homological algebra point of view Alexander Zimmermann
title_fullStr	Representation theory a homological algebra point of view Alexander Zimmermann
title_full_unstemmed	Representation theory a homological algebra point of view Alexander Zimmermann
title_short	Representation theory
title_sort	representation theory a homological algebra point of view
title_sub	a homological algebra point of view
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volume_link	(DE-604)BV035482291
work_keys_str_mv	AT zimmermannalexander representationtheoryahomologicalalgebrapointofview

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