Some new linear representations of matrix quaternions with some applications
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2017.05.017
Abstract: Abstract In this paper, we construct several new attractive and interested linear representations of matrix quaternions by using Kronecker structures in order to obtain the general partitioned linear representation form of matrix quaternions. In addition,… read more here.
Keywords: quaternions applications; representations matrix; matrix quaternions; linear representations ... See more keywords
A standard form in (some) free fields: How to construct minimal linear representations
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DOI: 10.1515/math-2020-0076
Abstract: Abstract We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn… read more here.
Keywords: minimal linear; representations standard; free fields; linear representations ... See more keywords
A Class of Abstract Linear Representations for Convolution Function Algebras over Homogeneous Spaces of Compact Groups
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DOI: 10.4153/cjm-2016-043-9
Abstract: This paper introduces a class of abstract linear representations on Banach convolution function algebras over homogeneous spaces of compact groups. Let be a compact group and a closed subgroup of . Let be the normalized… read more here.
Keywords: class abstract; function algebras; abstract linear; convolution function ... See more keywords