11 citations · 61 across the 21 of their papers we have counts for
10 papers · 2 filters
Graded Division Algebras over the Field of Real Numbers
Yuri Bahturin, Mikhail Zaicev
We give a full classification, up to equivalence, of finite-dimensional graded division algebras over the field of real numbers. The grading group is any abelian group.
Graded PI-exponents of simple Lie superalgebras
Dušan D. Repovš, Mikhail V. Zaicev
We study -graded identities of simple Lie superalgebras over a field of characteristic zero. We prove the existence of the graded PI-exponent for such algebras.
On the codimension growth of simple color Lie superalgebras
Dušan Pagon, Dušan Repovš, Mikhail Zaicev
We study polynomial identities of finite dimensional simple color Lie superalgebras over an algebraically closed field of characteristic zero graded by the product of two cyclic gr…
On identities of infinite dimensional Lie superalgebras
Dušan Repovš, Mikhail Zaicev
We study codimension growth of infinite dimensional Lie superalgebras over an algebraically closed field of characteristic zero. We prove that if a Lie superalgebra is a Grassm…
Group gradings on finite dimensional Lie algebras
Dušan Pagon, Dušan Repovš, Mikhail Zaicev
We study gradings by noncommutative groups on finite dimensional Lie algebras over an algebraically closed field of characteristic zero. It is shown that if is gradeg by a non-…
Graded identities of some simple Lie superalgebras
Dušan Repovš, Mikhail Zaicev
We study -graded identities of Lie superalgebras of the type , over a field of characteristic zero. Our main result is that the -th codimension is st…