We establish for which parabolic subgroups of a simply connected and semisimple algebraic group with unipotent radical and Levi factor the two rings and are isomorphic as algebras. We show the relation of this problem with a Theorem of Schmid and we compare the multiplications in the rings and .
Cite this article
Andrea Maffei, Francesco Esposito, On a theorem of Schmid. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 19 (2008), no. 2, pp. 135–140DOI 10.4171/RLM/512