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Graded Cartan determinants of the symmetric groups
symmetric groups Iwahori-Hecke algebras graded representation theory quantum groups Shapovalov forms quiver Hecke algebras
2012/5/1
We give the graded Cartan determinants of the symmetric groups. Based on it, we propose a gradation of Hill's conjecture which is equivalent to K\"ulshammer-Olsson-Robinson's conjecture on the general...
ON A PROBLEM IN THE THEORY OF DETERMINANTS
2007/12/13
1. In 1867 Sylvester published a paper in Philos. Mag. with perhaps the funniesttitle ever written in the mathematical literature. The various questions treated hereall led him to the problem to deter...