86 citations · 478 across the 67 of their papers we have counts for
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Superized Leznov-Saveliev equations as the zero-curvature condition on a reduced connection
Dimitry Leites
The equations of open 2-dimensional Toda lattice (TL) correspond to Leznov-Saveliev equations (LSE) interpreted as zero-curvature Yang-Mills equations on the variety of -orbi…
Supertraces on queerified algebras
Dimitry Leites, Irina Shchepochkina
We describe supertraces on ``queerifications'' (see arxiv:2203.06917) of the algebras of matrices of ``complex size'', algebras of observables of Calogero-Moser model, Vasiliev hig…
New simple Lie superalgebras as queerified associative algebras
Dimitry Leites
Over , Montgomery superized Herstein's construction of simple Lie algebras from finite-dimensional associative algebras, found obstructions to the procedure and applied…
On a Hidden Supersymmetry of Cosmological Billiards
Dimitry Leites, Oleksandr Lozhechnyk
In the Belinski-Khalatnikov-Lifshitz cosmological models with an oscillatory approximation to singularity, the tracks of cosmological billiards (whatever they are) are realized in…
Two problems in the theory of differential equations
Dimitry Leites
1) The differential equation considered in terms of exterior differential forms, as É.Cartan did, singles out a differential ideal in the supercommutative superalgebra of different…
How to quantize the antibracket
Dimitry Leites, Irina Shchepochkina
The uniqueness of (the class of) deformation of Poisson Lie algebra has long been a completely accepted folklore. Actually, it is wrong as stated, because its validity depends on t…