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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Affine Weyl groups and non-Abelian discrete systems: an application to the
Irina Bobrova
Abstract
A non-abelian generalisation of a birational representation of affine Weyl groups and their application to the discrete dynamical systems is presented. By using this generalisation, non-commutative analogs for the discrete systems of
- Received:
- 12.04.24
- Published:
- 12.04.24
- MSC Codes:
- 46L55, 39A05, 39A10
- Keywords:
- non-abelian discrete systems, dressing chain, Painlevé equations, Bäcklund transformations, affine Weyl groups