112
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Decomposition of symplectic matrices into products of commutators of symplectic involutions

ORCID Icon
Pages 3459-3470 | Received 22 Dec 2019, Accepted 05 Mar 2020, Published online: 20 Mar 2020
 

Abstract

A matrix A is symplectic if ATJA=J, where J=[0InIn0]. A symplectic matrix A is a commutator of symplectic involutions if A=XYX1Y1, where X and Y are symplectic and X2=Y2=I. In this article, we prove that every complex symplectic matrix of size greater than 2 can be decomposed into a product of at most three commutators of involutions.

Communicated by Miriam Cohen

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgment

The author thanks the referee for the careful examination and helpful suggestions.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.