Representations of Rational Cherednik Algebras in Positive Characteristic (CROSBI ID 179734)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Balagović, Martina ; Chen, Harrison
engleski
Representations of Rational Cherednik Algebras in Positive Characteristic
We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on rational Cherednik algebras associated to the general and special linear group over a finite field of the same characteristic as the underlying algebraically closed field. For such algebras we calculate the characters of irreducible representations with trivial lowest weight.
representation; rational Cherednik algebra; positive characteristic
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Podaci o izdanju
217 (4)
2013.
716-740
objavljeno
0022-4049
10.1016/j.jpaa.2012.09.015