M. Pankov

activity

20002005

collaborators

6 papers

math.GR2005

On geometry of symplectic involutions

Mark Pankov

Let $V$ be a $2 n$ -dimensional vector space over a field $F$ and $Ω$ be a non-degenerate symplectic form on $V$ . Denote by $H_{k} (Ω)$ the set of all $2 k$ -dimensional sub…

math.GR2005

On geometry of linear involutions

Mark Pankov

Let $V$ be an $n$ -dimensional left vector space over a division ring $R$ and $n \geq 3$ . Denote by $G_{k}$ the Grassmann space of $k$ -dimensional subspaces of $V$ and put…

math.GM2004

Transformations of Grassman Spaces

Mark Pankov

This is a version of a part of the book ``Transformations of Grassman Spaces'' (in progress). We study transformations of Grassman spaces preserving certain geometrical constructio…

math.GR2003

On Tits Buildings of Type $A_{n}$

Mark Pankov

Let $P$ and $P^{'}$ be projective spaces having the same dimension $n$ assumed to be finite. Let $Δ$ and $Δ^{'}$ be buildings of type $A_{n}$ . We consider mappings of chambers of $Δ$ into…

math.RA2001

Transformations of Grassmannians and automorphisms of linear groups

Mark Pankov

We consider transformations preserving certain linear structure in Grassmannians and give some generalization of the Fundamental Theorem of Projective Geometry and the Chow Theorem…

math.SG2000

Sets of singular restrictions of symplectic forms

Mark A. Pankov

Let $Ω$ be a non-singular syplectic form on some vector space $V$ . Denote by $S_{k}^{n} (Ω)$ the set of all $k$ -dimensional planes $s$ in $V$ such that the restriction of $Ω$ onto $…

On geometry of symplectic involutions

On geometry of linear involutions

Transformations of Grassman Spaces

On Tits Buildings of Type An​

Transformations of Grassmannians and automorphisms of linear groups

Sets of singular restrictions of symplectic forms

On Tits Buildings of Type $A_{n}$