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On projective modules for Frobenius kernels and finite Chevalley groups
projective modules Frobenius kernels finite Chevalley groups Group Theory
2012/4/23
Let $G$ be a simply-connected semisimple algebraic group scheme over an algebraically closed field of characteristic $p > 0$. Let $r \geq 1$ and set $q = p^r$. We show that if a rational $G$-module $M...
Let A be an affine algebra of dimension d>3 over the field k, where k is the algebraic closure of the finite field Z/pZ, where p\geq d. Let P be a projective A-module of rank d-1. Then P is cancellati...