Andrey O. Krutov

activity

20092024

most citedNon-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras

13 citations · 71 across the 20 of their papers we have counts for

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math.DG2023

Non-integrable distributions with simple infinite-dimensional Lie (super)algebras of symmetries

Andrey Krutov, Dimitry Leites, Irina Shchepochkina

Under usual locality assumptions, we classify all non-integrable distributions with simple infinite-dimensional Lie superalgebra of symmetries over $C$ : we single out 15 s…

math.DG2013★ 4 cited

Non-Abelian Lie algebroids over jet spaces

Arthemy V. Kiselev, Andrey O. Krutov

We associate Hamiltonian homological evolutionary vector fields --which are the non-Abelian variational Lie algebroids' differentials-- with Lie algebra-valued zero-curvature repre…

math.DG2013

On the (non)removability of spectral parameters in $Z_{2}$ -graded zero-curvature representations and its applications

Arthemy V. Kiselev, Andrey O. Krutov

We generalise to the $Z_{2}$ -graded set-up a practical method for inspecting the (non)removability of parameters in zero-curvature representations for partial differential e…

Non-integrable distributions with simple infinite-dimensional Lie (super)algebras of symmetries

Non-Abelian Lie algebroids over jet spaces

On the (non)removability of spectral parameters in Z2​-graded zero-curvature representations and its applications

On the (non)removability of spectral parameters in $Z_{2}$ -graded zero-curvature representations and its applications