Article citationsMore>>

Bernig, A. and Solanes, G. (2014) Classification of Invariant Valuations on the Quaternionic Plane. Journal of Functional Analysis, 267, 2933-2961.
https://doi.org/10.1016/j.jfa.2014.06.017

has been cited by the following article:

• TITLE: Equivalence of Paths under the Action of the Real Representation of Sp(n)

  AUTHORS: Muminov K. Khodyrovich, Juraboyev S. Solyjonovich

  KEYWORDS: Real Representation, Differential Invariant, Differential Generators, Path in a Finite-Dimensional Space

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.5, May 31, 2022

  ABSTRACT: In this article, we will consider questions of G-equivalence of paths for the case when G was the group of the real representation of a symplectic transformation in an n-dimensional quaternion vector space. In determining the solution of this problem, we give an explicit description of differential generators of a differential field of differential rational functions that are invariant under the action of this group. Necessary and sufficient conditions for the G-equivalence of paths in a 4n-dimensional real space are obtained with the help of differential generators.