A vector space basis of the quantum symplectic sphere

Sophie Emma Zegers

doi:10.1142/S0219498826500702

A vector space basis of the quantum symplectic sphere

Sophie Emma Zegers^*

^*Corresponding author for this work

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Abstract

In this paper, we present a candidate of a vector space basis for the noncommutative algebra (Sq4n-1) of the quantum symplectic sphere for every ≥ 1. The algebra (Sq4n-1) is defined as a certain subalgebra of the quantum symplectic group (SPq(2n)). A nontrivial application of the Diamond Lemma is used to construct the vector space basis and the conjecture is supported by computer experiments for n = 1, 2,..., 8.

Original language	English
Article number	2650070
Number of pages	9
Journal	Journal of Algebra and its Applications
DOIs	https://doi.org/10.1142/S0219498826500702
Publication status	Published - 2024

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Quantum symplectic/quaternion sphere
the Diamond lemma
vector space basis

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10.1142/S0219498826500702

SEZegers24Final published version, 349 KB

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A vector space basis of the quantum symplectic sphere

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