Equivalence of paths with respect to the action of the group Sp (n)

In the paper an explicit description of a finite generating system in a differential skew field of non-commutative differential rational functions invariant under the action of a group of symplectic transformations in a finite-dimensional quaternion space is given. Also, necessary and sufficient con...

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Bibliographic Details
Main Authors: Muminov, Kabiljon Kadyrovich, Juraboev, Saidakhbor Solijonovich
Format: Conference Proceeding
Language:English
Subjects:
Equivalence
Quaternions
Rational functions
Vector spaces
Online Access:Get full text
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Summary:In the paper an explicit description of a finite generating system in a differential skew field of non-commutative differential rational functions invariant under the action of a group of symplectic transformations in a finite-dimensional quaternion space is given. Also, necessary and sufficient conditions are established for the equivalence of paths in an n-dimensional vector space over the skew field of the quaternion numbers
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0144825