13 citations · 29 across the 9 of their papers we have counts for
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Self-dual projective algebraic varieties associated with symmetric spaces
Vladimir L. Popov, Evgueni A. Tevelev
We discover a class of projective self-dual algebraic varieties. Namely, we consider actions of isotropy groups of complex symmetric spaces on the projectivized nilpotent varieties…
Projective Duality and Principal Nilpotent Elements of Symmetric Pairs
Vladimir L. Popov
It is shown that projectivized irreducible components of nilpotent cones of complex symmetric spaces are projective self-dual algebraic varieties. Other properties equivalent to th…
Generically multiple transitive algebraic group actions
Vladimir L. Popov
With every nontrivial connected algebraic group we associate a positive integer called the generic transitivity degree of and equal to the maximal such t…
Cayley groups
Nicole Lemire, Vladimir L. Popov, Zinovy Reichstein
The classical Cayley map, X --> (I_n-X)/(I_n+X), is a birational isomorphism between the special orthogonal group SO_n and its Lie algebra so_n, which is SO_n-equivariant with resp…
Automorphism groups of finite dimensional simple algebras
Nikolai L. Gordeev, Vladimir L. Popov
We show that if a field k contains sufficiently many elements(for instance, if k is infinite), and K is an algebraically closed field containing k, then every linear algebraic k-gr…