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

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

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 o...

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Veröffentlicht in:arXiv.org 2016-12
Hauptverfasser: Gupta, Ashish, Arnab Dey Sarkar
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Modules
Operators (mathematics)
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Zusammenfassung: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.
ISSN:2331-8422