19 citations · 42 across the 4 of their papers we have counts for
4 papers
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…
The split Casimir operator and solutions of the Yang-Baxter equation for the and Lie superalgebras, higher Casimir operators, and the Vogel parameters
A. P. Isaev, A. A. Provorov
We find the characteristic identities for the split Casimir operator in the defining and adjoint representations of the and Lie superalgebras. These identit…
Projectors on invariant subspaces of representations of Lie algebras and and Vogel parametrization
A. P. Isaev, A. A. Provorov
Explicit formulae for the projectors onto invariant subspaces of the representation of the Lie algebras and have been found by mean…
Extended supersymmetric Calogero model
Sergey Krivonos, Olaf Lechtenfeld, Alexander Provorov +1
We present a surprising redefinition of matrix fermions which brings the supercharges of the -extended supersymmetric Calogero model introduced in [1] to the stan…