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European Mathematical Society - Frobenius Algebras I - Basic Representation Theory - 2012.pdf

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European Mathematical Society - Frobenius Algebras I - Basic Representation Theory - 2012.pdf

文档介绍

文档介绍:EMS Textbooks in Mathematics
EMS Textbooks in Mathematics is a series of books aimed at students or professional mathemati-
cians seeking an introduction into a particular field. The individual volumes are intended not only
to provide relevant techniques, results, and applications, but also to afford insight into the motiva-
tions and ideas behind the theory. Suitably designed exercises help to master the subject and
prepare the reader for the study of more advanced and specialized literature.
Jørn Justesen and Tom Høholdt, A Course In Error-Correcting Codes
Markus Stroppel, pact Groups
Peter Kunkel and Volker Mehrmann, Differential-Algebraic Equations
Dorothee D. Haroske and Hans Triebel, Distributions, Sobolev Spaces, Elliptic Equations
Thomas Timmermann, An Invitation to Quantum Groups and Duality
Oleg Bogopolski, Introduction to Group Theory
Marek Jarnicki und Peter Pflug, First Steps in plex Variables: Reinhardt Domains
Tammo tom Dieck, Algebraic Topology
Mauro C. Beltrametti et al., Lectures on Curves, Surfaces and Projective Varieties
Wolfgang Woess, Denumerable Markov Chains
Eduard Zehnder, Lectures on Dynamical Systems. Hamiltonian Vector Fields and Symplectic
Capacities
Andrzej Skowro´nski
Kunio Yamagata
Frobenius Algebras I
Basic Representation Theory
Authors:
Andrzej Skowro´nski Kunio Yamagata
Faculty of Mathematics Department of Mathematics
puter Science Tokyo University of Agriculture
Nicolaus Copernicus University and Technology
Chopina 12/18 Nakacho 2-24-16, Koganei
87-100 Toru´n Tokyo 184-8588
Poland Japan
E-mail: ******@ E-mail: .
2010 Mathematical Subject Classification (primary; secondary): 16-01; 13E10, 15A63, 15A69, 16Dxx,
16E30, 16G10, 16G20, 16G70, 16K20, 16W30, 51F15
Key words: Algebra, module, representation, quiver, ideal, radical, simple module, semisimple module,
uniserial module, projective module, injective module, simple algebra, semisimple algebra, separable
algebra