On recognition by spectrum of finite simple linear groups over fields of characteristic 2.
On recognition of the finite simple orthogonal groups of dimension , , and over a field of characteristic 2.
On recognition of the projective special linear groups over binary fields.
On reducible and decomposable representations of orders.
On representations of with algebras of invariants being complete intersections.
On semisimple classes and semisimple characters in finite reductive groups
In this article, we study the elements with disconnected centralizer in the Brauer complex associated to a simple algebraic group defined over a finite field with corresponding Frobenius map and derive the number of -stable semisimple classes of with disconnected centralizer when the order of the fundamental group has prime order. We also discuss extendibility of semisimple characters of the fixed point subgroup to their inertia group in the full automorphism group. As a consequence, we...
On sequences not enjoying Schur’s property
Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some subsets of functions.
On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells.
On some reductive group actions on affine space II.
On Some Results of Atkin and Lehner.
On special pieces in the unipotent variety.
On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2.
On Structure of Weyl Modules.
On subgroups of GL2 over non-commutative local rings which are normalized by elementary matrices.
On subgroups of GLn (Fp).
On symplectic groups over polynomial rings.
On systems of linear inequalities
We show in detail that the category of general Roth systems or the category of semi-stable systems of linear inequalities of slope zero is a neutral Tannakian category. On the way, we present a new proof of the semi-stability of the tensor product of semi-stable systems. The proof is based on a numerical criterion for a system of linear inequalities to be semi-stable.
On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes.
On the “Bruhat graph” of a Coxeter system
On the character variety of group representations in SL (2, C) and PSL (2, C).