George Lusztig is an Americanmathematician. He won the Cole Prize (Algebra) in 1985. A mathematician is a person whose area of study and research is mathematics. ... There are two Cole Prizes awarded by the American Mathematical Society. ... Algebra is a branch of mathematics, which studies structure and quantity. ... 1985 is a common year starting on Tuesday of the Gregorian calendar. ...
Scott and his collaborators, especially Ed Cline and Brian Parshall, have been working on the Lusztig conjecture for some time (each of the papers [40], [41], [44], [45], [47], [48], [49], [55], [57], [58], [59], [60], [63], [66], [67], [68], [77] is relevant, though many develop general theories of broader significance).
The same should be true of related, already proved conjectures due to Kazhdan and Lusztig in the continuous case.
If the Lusztig conjecture and similar results in nondefining characteristic could be established, it would at least be possible to handle some of the smaller characteristics fairly immediately with computer calculations, and have complete tables of character formulas for modest size ranks.
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