The Yang-Baxter matrix equation for involutions

The Yang-Baxter matrix equation for involutions

In this paper we find all involutive solutions ... of the Yang-Baxter matrix equation AXA = XAX, where ... is a given involutory matrix. The construction is algorithmic. It is based on the concept of quadratic matrices. Algorithms for generating concrete involutive solutions of the Yang-Baxter matri...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2022, Vol.23 (1), p.61-70
Hauptverfasser: Andruszkiewicz, Ryszard R., Smoktunowicz, Alicja
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Eigenvalues
Quantum field theory
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Zusammenfassung:In this paper we find all involutive solutions ... of the Yang-Baxter matrix equation AXA = XAX, where ... is a given involutory matrix. The construction is algorithmic. It is based on the concept of quadratic matrices. Algorithms for generating concrete involutive solutions of the Yang-Baxter matrix equation AXA = XAX are also presented along with several examples.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2022.3761