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Oleksandr Lozhechnyk

3 papers hereh-index 12 citations2 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • last author3

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.RT2
  • math-ph1

identity via Semantic Scholar / OpenAlex

activity
20192026
most citedInverses of Cartan matrices of Lie algebras and Lie superalgebras

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.RT2026

Maximal subalgebras in the three exceptional simple finite-dimensional Lie superalgebras

Dimitry Leites, Oleksandr Lozhechnyk

Dynkin classified the maximal subalgebras of the simple finite-dimensional Lie algebras. The super version of his problem is solved, for the matrix Lie superalgebras, by Shchepochk…

math-ph2021

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…

math.RT2019★ 3 cited

Inverses of Cartan matrices of Lie algebras and Lie superalgebras

Dimitry Leites, Oleksandr Lozhechnyk

The inverses of indecomposable Cartan matrices are computed for finite-dimension\-al Lie algebras and Lie superalgebras over fields of any characteristic, and for hyperbolic (almos…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.