Simple algebra with arbitrary odd Gelfand-Kirillov dimension
Sergey S. Konyuhov
TL;DR
This paper presents an example of a finitely generated simple algebra over a field of characteristic zero that has an arbitrary odd Gelfand-Kirillov dimension, expanding understanding of algebraic structures with specific growth properties.
Contribution
The paper constructs explicit examples of simple algebras with any prescribed odd Gelfand-Kirillov dimension, which was previously unknown.
Findings
Existence of simple algebras with arbitrary odd Gelfand-Kirillov dimension
Explicit construction method for such algebras
Advancement in understanding algebraic growth properties
Abstract
It is given an example of finitely generated simple algebra over a field k (char k = 0) with arbitrary odd Gel'fand-Kirillov dimension.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models