A. Provorov

activity

20182022

most citedThe split Casimir operator and solutions of the Yang-Baxter equation for the

os p (M ∣ N)

and

s ℓ (M ∣ N)

Lie superalgebras, higher Casimir operators, and the Vogel parameters

5 citations · 6 across the 2 of their papers we have counts for

collaborators

3 papers

math-ph2022★ 5 cited

The split Casimir operator and solutions of the Yang-Baxter equation for the $os p (M ∣ N)$ and $s ℓ (M ∣ N)$ 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 $os p (M ∣ N)$ and $s ℓ (M ∣ N)$ Lie superalgebras. These identit…

math-ph2021★ 1 cited

Projectors on invariant subspaces of representations $ad^{\otimes 2}$ of Lie algebras $so (N)$ and $s p (2 r)$ and Vogel parametrization

A. P. Isaev, A. A. Provorov

Explicit formulae for the projectors onto invariant subspaces of the $ad^{\otimes 2}$ representation of the Lie algebras $so (N)$ and $s p (2 r)$ have been found by mean…

hep-th2018

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 $N$ -extended supersymmetric $A_{n - 1}$ Calogero model introduced in [1] to the stan…

The split Casimir operator and solutions of the Yang-Baxter equation for the osp(M∣N) and sℓ(M∣N) Lie superalgebras, higher Casimir operators, and the Vogel parameters

Projectors on invariant subspaces of representations ad⊗2 of Lie algebras so(N) and sp(2r) and Vogel parametrization

Extended supersymmetric Calogero model

The split Casimir operator and solutions of the Yang-Baxter equation for the $os p (M ∣ N)$ and $s ℓ (M ∣ N)$ Lie superalgebras, higher Casimir operators, and the Vogel parameters

Projectors on invariant subspaces of representations $ad^{\otimes 2}$ of Lie algebras $so (N)$ and $s p (2 r)$ and Vogel parametrization