30 citations · 374 across the 33 of their papers we have counts for
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Representations of orthogonal and symplectic Yangians
D. Karakhanyan, R. Kirschner
Exteded Yangian algebras of orthogonal and symplectic types are defined by the Yang-Baxter RLL relation involving the fundamental R-matrix with or symmetry. We stu…
Yang-Baxter R-operators for osp superalgebras
A. P. Isaev, D. Karakhanyan, R. Kirschner
We study Yang-Baxter equations with orthosymplectic supersymmetry. We extend a new approach of the construction of the spinor and metaplectic -operators with orthogon…
Spinorial R operator and Algebraic Bethe Ansatz
D. Karakhanyan, R. Kirschner
We propose a new approach to the spinor-spinor R-matrix with orthogonal and symplectic symmetry. Based on this approach and the fusion method we relate the spinor-vector and vector…
Orthogonal and symplectic Yangians - linear and quadratic evaluations
D. Karakhanyan, R. Kirschner
Orthogonal or symplectic Yangians are defined by the Yang-Baxter relation involving the fundamental matrix with or symmetry. Simple operators with li…
Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras
J. Fuksa, A. P. Isaev, D. Karakhanyan +1
Yang-Baxter relations symmetric with respect to the ortho-symplectic superalgebras are studied. We start from the formulation of graded algebras and the linear superspace carrying…
Orthogonal and symplectic Yangians and Yang-Baxter R-operators
A. P. Isaev, D. Karakhanyan, R. Kirschner
Yang-Baxter R operators symmetric with respect to the orthogonal and symplectic algebras are considered in an uniform way. Explicit forms for the spinorial and metaplectic R operat…