Showing math.RAShow all
3 papers · 1 filter
math.RA2009
Gradings on simple algebras of finitary matrices
Yuri Bahturin, Mikhail Zaicev
We describe gradings by finite abelian groups on the associative algebras of infinite matrices with finitely many nonzero entries, over an algebraically closed field of characteris…
math.RA2006
Involutions on graded matrix algebras
Yuri Bahturin, Mikhail Zaicev
In this paper we describe graded automorphisms and antiautomorphisms of finite order on matrix algebras endowed with a group gradings by a finite abelian group over an arbitrary al…
math.RA2006
Large Restricted Lie Algebras
Yuri Bahturin, Alexander Olshanskii
We establish some results about large restricted Lie algebras similar to those known in the Group Theory. As an application we use this group-theoretic approach to produce some exa…