02643nam a22003735a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084001500185245012000200260008200320300003400402336002600436337002600462338003600488347002400524490006100548505052000609506006601129520081301195650003402008650004202042700002802084700002802112700003102140856003202171856006602203230-180411CH-001817-320180411233001.0a fot ||| 0|cr nn mmmmamaa180411e20180430sz fot ||| 0|eng d a978303719685470a10.4171/1852doi ach0018173 7aPBFD2bicssc a20-xx2msc10aLocal Representation Theory and Simple Groupsh[electronic resource] /cRadha Kessar, Gunter Malle, Donna Testerman3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2018 a1 online resource (369 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Series of Lectures in Mathematics (ELM) ;x2523-517600tBasic local representation theory /rBurkhard Külshammer --tReduction theorems for some global–local conjectures /rBritta Späth --tA first guide to the character theory of finite groups of Lie type /rMeinolf Geck --tLectures on modular Deligne–Lusztig theory /rOlivier Dudas --tLocal methods for blocks of finite simple groups /rMarc Cabanes --tSimple groups, fixed point ratios and applications /rTimothy C. Burness --tApplications of character theory of finite simple groups /rMartin W. Liebeck.1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThe book contains extended versions of seven short lecture courses given during a semester programme on "Local Representation Theory and Simple Groups" held at the Centre Interfacultaire Bernoulli of the EPF Lausanne. These focussed on modular representation theory of finite groups, modern Clifford theoretic methods, the representation theory of finite reductive groups, as well as on various applications of character theory and representation theory, for example to base sizes and to random walks.
These lectures are intended to form a good starting point for graduate students and researchers who wish to familiarize themselves with the foundations of the topics covered here. Furthermore they give an introduction to current research directions, including the state of some open problems in the field.07aGroups & group theory2bicssc07aGroup theory and generalizations2msc1 aKessar, Radha,eeditor.1 aMalle, Gunter,eeditor.1 aTesterman, Donna,eeditor.40uhttps://doi.org/10.4171/185423cover imageuhttps://www.ems-ph.org/img/books/kessar_mini.jpg