Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/68460
Title: Left regular representation of gyrogroups
Authors: Teerapong Suksumran
Authors: Teerapong Suksumran
Keywords: Mathematics
Issue Date: 1-Jan-2020
Abstract: © 2019 by the authors. In this article, we examine a subspace Lgyr(G) of the complex vector space, L(G) = [f: f is a function from G to C], where G is a nonassociative group-like structure called a gyrogroup. The space Lgyr(G) arises as a representation space for G associated with the left regular representation, consisting of complex-valued functions invariant under certain permutations of G. In the case when G is finite, we prove that dim (where γ(G) is the sub group of Sym (G) generated by a class of permutations of G and Fix (ρ) = [a ∈ G: ρ(a) = a].
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079660333&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68460
ISSN: 22277390
Appears in Collections:CMUL: Journal Articles

Files in This Item:
There are no files associated with this item.


Items in CMUIR are protected by copyright, with all rights reserved, unless otherwise indicated.