10 citations · 25 across the 15 of their papers we have counts for
16 papers
The geometric classification of -step nilpotent algebras and applications
Mikhail Ignatyev, Ivan Kaygorodov, Yury Popov
We give a geometric classification of complex -dimensional -step nilpotent (all, commutative and anticommutative) algebras. Namely, has been found the number of irreducible c…
On tangent cones to Schubert varieties in type
Mikhail V. Ignatyev, Aleksandr A. Shevchenko
We consider tangent cones to Schubert subvarieties of the flag variety , where is a Borel subgroup of a reductive complex algebraic group of type , or …
The orbit method for locally nilpotent infinite-dimensional Lie algebras
Mikhail V. Ignatyev, Alexey Petukhov
Let be a locally nilpotent infinite-dimensional Lie algebra over . Let and be its universal envelop…
Centrally generated primitive ideals of for exceptional types
Mikhail V. Ignatyev, Aleksandr A. Shevchenko
Let be a complex semisimple Lie algebra, be a Borel subalgebra of , be the nilradical of , and $U(\mathfrak…
On involutions in the Weyl group and -orbit closures in the orthogonal case
Mikhail V. Ignatyev
We study coadjoint -orbits on , where is a Borel subgroup of a complex orthogonal group , and is the Lie algebra of the unipotent radical o…
Centrally generated primitive ideals of in types and
Mikhail V. Ignatyev
We study the centrally generated primitive ideals of , where is the (locally) nilpotent radical of a (splitting) Borel subalgebra of a simple comple…