Algebraic construction of contragradient quasi-Verma modules in positive characteristic
Arkhipov, Sergey
Original · EN
In the present paper we investigate a new class of infinite-dimensional modules over the hyperalgebra of a semi-simple algebraic group in positive chararacteristic called quasi-Verma modules. We provide a purely algebraic construction of the global Grothendieck-Cousin complex corresponding to the standard line bumdle L(λ) on the Flag variety of the algebraic group stratified by Schubert cells. We prove that the complex consists of direct sums of quasi-Verma modules for the highest weights of the form w·λ for various elements w of the Weyl group.
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