62 citations · 761 across the 58 of their papers we have counts for
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hep-th1994★ 5 cited
Yangians and Classical Lie Algebras
A. Molev, M. Nazarov, G. Olshanskii
We study in detail the structure of the Yangian Y(gl(N)) and of some new Yangian-type algebras called twisted Yangians. The algebra Y(gl(N)) is a `quantum' deformation of the unive…
hep-th1994★ 11 cited
Noncommutative symmetric functions and Laplace operators for classical Lie algebras
Alexander Molev
New systems of Laplace (Casimir) operators for the orthogonal and symplectic Lie algebras are constructed. The operators are expressed in terms of paths in graphs related to matric…
hep-th1994★ 4 cited
Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities
Alexander Molev
We study the structure of quantized enveloping algebras called twisted Yangians, which are naturally associated with the B, C, and D series of the classical Lie algebras. We obtain…