Band 1981
Blocks and Families for Cyclotomic Hecke Algebras
Aus der Reihe
Lecture Notes in Mathematics
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- eBook
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Sprache:Englisch
Fr. 53.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
21.09.2009
Verlag
Springer BerlinSeitenzahl
166
Maße (L/B/H)
23.2/15.7/1.5 cm
Gewicht
284 g
Auflage
2009
Sprache
Englisch
ISBN
978-3-642-03063-5
This book contains a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Cli?ord theory. It can also serve as an introduction to the Hecke algebras of complex re?ection groups. Its aim is the study of the blocks and the determination of the families of characters of the cyclotomic Hecke algebras associated to complex re?ection groups. Iwouldliketothankmythesisadvisor,MichelBroü e,forhisadvice.These Springer Lecture Notes were, after all, his idea. I am grateful to Jean Michel for his help with the implementation and presentation of the programming part. I would like to thank Gunter Malle for his suggestion that I generalize my results on Hecke algebras, which led to the notion of "essential algebras". I also express my thanks to C¿ edric Bonnaf¿ e, Meinolf Geck, Nicolas Jacon, Raphä el Rouquier and Jacques Th¿ evenaz for their useful comments. Finally, I thank Thanos Tsouanas for copy-editing this manuscript. v Introduction The ?nite groups of matrices with coe?cients in Q generated by re?ections, known as Weyl groups, are a fundamental building block in the classi?cation of semisimple complex Lie algebras and Lie groups, as well as semisimple algebraic groups over arbitrary algebraically closed ?elds. They are also a foundation for many other signi?cant mathematical theories, including braid groups and Hecke algebras.
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