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The Entropy of Graded Algebras

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Date

2000

Authors

Newman, Michael
Schneider, Csaba
Shalev, Aner

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

We define the entropy of a graded algebra A=⊕nAn by limsupn→∞dimAn. This is related to the notion of entropy in symbolic dynamics, and could serve as a natural dimension concept for algebras with exponential growth. We study the entropy of quotients

Description

Keywords

Keywords: Entropy; Free associative algebras; Free Lie algebras; Graded associative algebras; Graded Lie algebras; Growth; Hilbert series; Symbolic dynamics

Citation

URI

http://hdl.handle.net/1885/89573

Collections

ANU Research Publications

Source

Journal of Algebra

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

2037-12-31

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