Journal article
Noncommutative rational functions invariant under the action of a finite solvable group
Journal of mathematical analysis and applications, v 490(2), 124341
15 Oct 2020
Abstract
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.
Metrics
Details
- Title
- Noncommutative rational functions invariant under the action of a finite solvable group
- Creators
- Igor Klep - University of LjubljanaJames Eldred Pascoe - University of FloridaGregor Podlogar - Institute of Mathematics, Physics, and MechanicsJurij Volčič - Texas A&M University
- Publication Details
- Journal of mathematical analysis and applications, v 490(2), 124341
- Publisher
- Elsevier
- Grant note
- DMS 1954709 / NSF (https://doi.org/10.13039/100000001) DMS 1606260 / NSF (https://doi.org/10.13039/100000001) J1-8132; N1-0057; P1-0222 / Slovenian Research Agency (https://doi.org/10.13039/501100004329) 17-UOA-148 / Royal Society of New Zealand (https://doi.org/10.13039/501100001509)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000549380300022
- Scopus ID
- 2-s2.0-85087503866
- Other Identifier
- 991021861883004721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied