30 citations · 374 across the 33 of their papers we have counts for
33 papers
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…