A Dichotomy for GK dimensions of simple modules over simple differential rings

Published 15 Dec 2016 in math.RA | (1612.05303v2)

Abstract: The Gelfand--Kirillov dimension has gained importance since its introduction as an tool in the study of non-commutative infinite dimensional algebras and their modules. In this paper we show a dichotomy for the Gelfand--Kirillov dimension of simple modules over certain simple rings of differential operators.

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