ON TENSORING WITH THE STEINBERG REPRESENTATION
نویسندگان
چکیده
منابع مشابه
Tensoring Generalized Characters with the Steinberg Character
Let G be a reductive connected algebraic group over an algebraic closure of a finite field of characteristic p. Let F be a Frobenius endomorphism on G and write G := G F for the corresponding finite group of Lie type. We consider projective characters of G in characteristic p of the form St ·β, where β is an irreducible Brauer character and St the Steinberg character of G. Let M be a rational G...
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We show that the principal block O0 of the BGG category O for a semisimple Lie algebra g acts faithfully on itself via exact endofunctors which preserve tilting modules, via right exact endofunctors which preserve projective modules and via left exact endofunctors which preserve injective modules. The origin of all these functors is tensoring with arbitrary (not necessarily finite-dimensional) ...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2019
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-019-09530-x