Orthosymplectic superoscillator Lax matrices
Rouven Frassek, Alexander Tsymbaliuk
TL;DR
This paper constructs superoscillator Lax matrices satisfying the RTT relation for the orthosymplectic R-matrix, generalizing previous oscillator solutions and establishing their factorization properties.
Contribution
It introduces superoscillator Lax matrices for the orthosymplectic case, extending prior oscillator solutions and providing factorization formulas.
Findings
Constructed superoscillator Lax matrices satisfying RTT relation
Generalized previous oscillator solutions to the orthosymplectic case
Established factorization formulas among solutions
Abstract
We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic -matrix, generalizing orthogonal and symplectic oscillator type Lax matrices previously constructed by the authors in arXiv:2001.06825, arXiv:2104.14518, and arXiv:2112.12065. We further establish factorisation formulas among the presented solutions.
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Taxonomy
TopicsMatrix Theory and Algorithms · Optical Network Technologies · Radio Wave Propagation Studies