Second-order evaluations of orthogonal and symplectic Yangians

Orthogonal or symplectic Yangians are defined by the Yang–Baxter RLL relation involving the fundamental R-matrix with the corresponding so ( n ) or sp (2 m ) symmetry. We investigate the second-order solution conditions, where the expansion of L ( u ) in u −1 is truncated at the second power, and we...

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Veröffentlicht in:Theoretical and mathematical physics 2017-08, Vol.192 (2), p.1154-1161
Hauptverfasser: Karakhanyan, D. R., Kirschner, R.
Format: Artikel
Sprache:eng
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Zusammenfassung:Orthogonal or symplectic Yangians are defined by the Yang–Baxter RLL relation involving the fundamental R-matrix with the corresponding so ( n ) or sp (2 m ) symmetry. We investigate the second-order solution conditions, where the expansion of L ( u ) in u −1 is truncated at the second power, and we derive the relations for the two nontrivial terms in L ( u ).
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577917080062