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Communications in Algebra Volume 47, 2019 - Issue 10
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Articles

Tauvel’s height formula for quantum nilpotent algebras

K. R. GoodearlDepartment of Mathematics, University of California, Santa Barbara, California, USA; Correspondence[email protected]
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,
S. LaunoisSchool of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, Kent, UK; View further author information
&
T. H. LenaganMaxwell Institute for Mathematical Sciences, School of Mathematics, University of Edinburgh, Edinburgh, Scotland, UKView further author information
Pages 4194-4209 | Received 16 May 2018, Accepted 19 Jan 2019, Published online: 13 Apr 2019
 
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Abstract

Tauvel’s height formula, which provides a link between the height of a prime ideal and the Gelfand–Kirillov dimension of the corresponding factor algebra, is verified for quantum nilpotent algebras.

2000 Mathematics Subject Classification:

Acknowledgement

We thank James Zhang for useful discussions about transcendence degrees.

Additional information

Funding

The research of K. R. Goodearl was supported by US National Science Foundation grant DMS-1601184. The research of S. Launois was supported by EPSRC grant EP/N034449/1. The research of T. H. Lenagan was partially supported by a Leverhulme Trust Emeritus Fellowship.

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