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  • Noncommutative rational functions invariant under the action of a finite solvable group
    Klep, Igor, matematik ...
    This paper describes the structure of invariant skew fields for linear actions of finite solvable groups on free skew fields in $d$ generators. These invariant skew fields are always finitely ... generated, which contrasts with the free algebra case. For abelian groups or solvable groups ▫$G$▫ with a well-behaved representation theory it is shown that the invariant skew fields are free on ▫$| G |(d - 1) + 1$▫ generators. Finally, positivity certificates for invariant rational functions in terms of sums of squares of invariants are presented.
    Source: Journal of mathematical analysis and applications. - ISSN 0022-247X (Vol. 490, iss. 2, Oct. 2020, art. 124341 (17 str.))
    Type of material - article, component part ; adult, serious
    Publish date - 2020
    Language - english
    COBISS.SI-ID - 23642115

    Link(s):

    https://doi.org/10.1016/j.jmaa.2020.124341
    DOI

source: Journal of mathematical analysis and applications. - ISSN 0022-247X (Vol. 490, iss. 2, Oct. 2020, art. 124341 (17 str.))
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