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arXiv · 1612.05303

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

Ashish Gupta·Arnab Dey Sarkar
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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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Ashish Gupta, Arnab Dey Sarkar. 2016-12-15. A Dichotomy for GK dimensions of simple modules over simple differential rings. https://arxiv.org/abs/1612.05303

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