JOURNAL ARTICLE

A vector space basis of the quantum symplectic sphere.

  • Published In: Journal of Algebra & Its Applications, 2026, v. 25, n. 8. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Zegers, Sophie Emma 3 of 3

Abstract

In this paper, we present a candidate of a vector space basis for the noncommutative algebra (S q 4 n − 1) of the quantum symplectic sphere for every n ≥ 1. The algebra (S q 4 n − 1) is defined as a certain subalgebra of the quantum symplectic group ( SP q (2 n)). 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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Algebra & Its Applications. 2026/07, Vol. 25, Issue 8, p1
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2026
  • ISSN:0219-4988
  • DOI:10.1142/S0219498826500702
  • Accession Number:193121394
  • Copyright Statement:Copyright of Journal of Algebra & Its Applications is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Looking to go deeper into this topic? Look for more articles on EBSCOhost.