Algebraic Construction of Contragradient Quasi-verma Modules in Positive Characteristic

The paper grew out of attempts to fill the gap in the proof of Proposition 3.7.1 (ii) in [Ar8]. Let us recall the setting there. Denote by U A the Lusztig version of the quantum group for the root data (Y, X,. . .) of the finite type (I, ·) defined over the algebra A = Z[v, v −1 ] of Laurent polynomials in the variable v. Like in [L1] consider the… (More)