most recent 30 from http://mathoverflow.net 2013-06-19T07:36:07Z http://mathoverflow.net/feeds/question/19607 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/19607/is-lusztigs-conjecture-solved Shizhuo Zhang 2010-03-28T09:55:55Z 2010-03-28T10:24:31Z

<p>What I said is Lusztig's conjecture about representation of quantum group at root of unity and representation of Lie algebra at positive characters.</p> <p>It seems that Andersen-Jantzen-Soergel ever wrote a book on this conjecture. </p> <p>Is it solved? Any recent development? I am looking for reference talking about it. </p> <p>Thank you </p>

http://mathoverflow.net/questions/19607/is-lusztigs-conjecture-solved/19609#19609 Wilberd van der Kallen 2010-03-28T10:24:31Z 2010-03-28T10:24:31Z

<p>The result of that book is that the conjecture is true for sufficiently large, but unspecified characteristic. (First fix a Dynkin type.) More recently Peter Fiebig has given actual bounds. See</p> <p>An upper bound on the exceptional characteristics for Lusztig's character formula by Peter Fiebig arXiv:0811.1674v2 at <a href="http://arxiv.org/pdf/0811.1674v2" rel="nofollow">http://arxiv.org/pdf/0811.1674v2</a></p>