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.QA2023

Curvature of positive relative line modules over the quantum projective spaces

Andrey O. Krutov, Réamonn Ó Buachalla

We show that the curvature of a positive relative line module over quantum projective space is given by $q$ -integer deformation of its classical curvature. This generalises a resul…

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…