79 citations · 807 across the 61 of their papers we have counts for
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math-ph2021
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…
math-ph2021★ 21 cited
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…
math-ph2021★ 1 cited
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…