3 citations · 3 across the 1 of their papers we have counts for
6 papers
Contravariant form for reduction algebras and Pieri rule
S. Khoroshkin, O. Ogievetsky
We study properties and constructions of contravariant forms on reduction algebras. As an application we compute norms of highest weight vectors in the tensor product of an irreduc…
Jucys-Murphy elements for Birman-Murakami-Wenzl algebras
A. P. Isaev, O. V. Ogievetsky
The Birman-Wenzl-Murakami algebra, considered as the quotient of the braid group algebra, possesses the commutative set of Jucys--Murphy elements. We show that the set of Jucys--Mu…
Cremmer-Gervais Quantum Lie Algebra
O. Ogievetsky, T. Popov
We describe a quantum Lie algebra based on the Cremmer-Gervais R-matrix. The algebra arises upon a restriction of an infinite-dimensional quantum Lie algebra.
BRST charges for finite nonlinear algebras
A. P. Isaev, S. O. Krivonos, O. V. Ogievetsky
Some ingredients of the BRST construction for quantum Lie algebras are applied to a wider class of quadratic algebras of constraints. We build the BRST charge for a quantum Lie alg…
On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities
A Isaev, O Ogievetsky, P Pyatov
The Cayley-Hamilton-Newton identities which generalize both the characteristic identity and the Newton relations have been recently obtained for the algebras of the RTT-type. We ex…
Generalized Cayley-Hamilton-Newton identities
A. Isaev, O. Ogievetsky, P. Pyatov
The q-generalizations of the two fundamental statements of matrix algebra -- the Cayley-Hamilton theorem and the Newton relations -- to the cases of quantum matrix algebras of an "…