88 citations · 2k across the 119 of their papers we have counts for
6 papers · 1 filter
Split Casimir operator for simple Lie algebras in the cube of -representation and Vogel parameters
A. P. Isaev, S. O. Krivonos, A. A. Provorov
We constructed characteristic identities for the 3-split (polarized) Casimir operators of simple Lie algebras in the adjoint representations and deduced a certain cla…
Split Casimir operator and universal formulation of the simple Lie algebras
A. P. Isaev, S. O. Krivonos
We construct characteristic identities for the split (polarized) Casimir operators of the simple Lie algebras in adjoint representation. By means of these characteristic identities…
Split Casimir operator for simple Lie algebras, solutions of Yang-Baxter equations and Vogel parameters
A. P. Isaev, S. O. Krivonos
We construct characteristic identities for the split (polarized) Casimir operators of the simple Lie algebras in defining (minimal fundamental) and adjoint representations. By mean…
Remarks towards the spectrum of the Heisenberg spin chain type models
C. Burdik, J. Fuksa, A. P. Isaev +2
The integrable close and open chain models can be formulated in terms of generators of the Hecke algebras. In this review paper, we describe in detail the Bethe ansatz for the XXX…
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…
BRST operators for W algebras
A. P. Isaev, S. O. Krivonos, O. V. Ogievetsky
The study of quantum Lie algebras motivates a use of non-canonical ghosts and anti-ghosts for non-linear algebras, like W-algebras. This leads, for the W_3 and W_3^(2) algebras, to…