62 citations · 761 across the 58 of their papers we have counts for
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Gaussian generators for the Yangian associated with the Lie superalgebra
Alexander Molev, Eric Ragoucy
We give a new presentation of the Yangian for the orthosymplectic Lie superalgebra . It relies on the Gauss decomposition of the generator matrix in the -…
Quantum Sugawara operators in type
Naihuan Jing, Ming Liu, Alexander Molev
We construct Sugawara operators for the quantum affine algebra of type in an explicit form. The operators are associated with primitive idempotents of the Hecke algebra and par…
A Drinfeld-type presentation of the orthosymplectic Yangians
A. I. Molev
We use the Gauss decomposition of the generator matrix in the -matrix presentation of the Yangian for the orthosymplectic Lie superalgebra to produce its Dr…
Isomorphism between the -Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types and
Naihuan Jing, Ming Liu, Alexander Molev
Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993), 277-300] for type , we showed in our previous work [J. Math. Phys. 61 (2020), 031701, 41 pages] that th…
Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: type C
Naihuan Jing, Ming Liu, Alexander Molev
An explicit isomorphism between the -matrix and Drinfeld presentations of the quantum affine algebra in type was given by Ding and I. Frenkel (1993). We show that this resul…
Higher order Hamiltonians for the trigonometric Gaudin model
Alexander Molev, Eric Ragoucy
We consider the trigonometric classical -matrix for and the associated quantum Gaudin model. We produce higher Hamiltonians in an explicit form by applying the…