02393nam a22003495a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084001500185100003500200245011800235260008200353300003400435336002600469337002600495338003600521347002400557490003900581506006600620520115200686650002701838650004001865700003001905856003201935856007601967142-111212CH-001817-320111212234510.0a fot ||| 0|cr nn mmmmamaa111212e20111213sz fot ||| 0|eng d a978303719602170a10.4171/1022doi ach0018173 7aPBFL2bicssc a16-xx2msc1 aSkowroński, Andrzej,eauthor.10aFrobenius Algebras Ih[electronic resource] :bBasic Representation Theory /cAndrzej Skowroński, Kunio Yamagata3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2011 a1 online resource (661 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Textbooks in Mathematics (ETB)1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThis is the first of two volumes which will provide a comprehensive introduction
to the modern representation theory of Frobenius algebras. The first
part of the book serves as a general introduction to basic results and techniques
of the modern representation theory of finite dimensional associative
algebras over fields, including the Morita theory of equivalences and dualities
and the Auslander–Reiten theory of irreducible morphisms and almost
split sequences.
The second part is devoted to fundamental classical and recent results concerning
the Frobenius algebras and their module categories. Moreover, the
prominent classes of Frobenius algebras, the Hecke algebras of Coxeter
groups and the finite dimensional Hopf algebras over fields are exhibited.
This volume is self-contained and the only prerequisite is a basic knowledge
of linear algebra. It includes complete proofs of all results presented and provides
a rich supply of examples and exercises.
The text is primarily addressed to graduate students starting research in
the representation theory of algebras as well mathematicians working in
other fields.07aFields & rings2bicssc07aAssociative rings and algebras2msc1 aYamagata, Kunio,eauthor.40uhttps://doi.org/10.4171/102423cover imageuhttps://www.ems-ph.org/img/books/skowronski_text1_mini.jpg