3 papers
math.AP2004
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…
math.RA2004
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…
math.AG2002
Invariant tensor fields and orbit varieties for finite algebraic transformation groups
Mark Losik, Peter W. Michor, Vladimir L. Popov
Let be a smooth algebraic variety endowed with an action of a finite group such that there exists the geometric quotient . We characterize rational tensor fie…