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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2017: 1.49

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Volume 2012, Issue 673


An upper bound on the exceptional characteristics for Lusztig's character formula

Peter Fiebig
Published Online: 2011-12-13 | DOI: https://doi.org/10.1515/CRELLE.2011.170


We develop a Lefschetz theory in a combinatorial category associated to a root system and derive an upper bound on the exceptional characteristics for Lusztig's formula for the simple rational characters of a reductive algebraic group. Our bound is huge compared to the Coxeter number.

About the article

Department Mathematik, Universität Erlangen-Nürnberg, Bismarckstr. 1½, 91054 Erlangen, Germany

Received: 2009-11-17

Revised: 2011-01-26

Published Online: 2011-12-13

Published in Print: 2012-12-01

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2012, Issue 673, Pages 1–31, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/CRELLE.2011.170.

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