28 citations · 31 across the 3 of their papers we have counts for
4 papers · 1 filter
Graded polynomial identities for matrices with the transpose involution
Darrell Haile, Michael Natapov
Let be a group of order . We consider the algebra of by matrices over the complex numbers and view it as a crossed product with respect to by e…
A graph theoretic approach to graded identities for matrices
Darrell Haile, Michael Natapov
We consider the algebra M_k(C) of k-by-k matrices over the complex numbers and view it as a crossed product with a group G of order k by embedding G in the symmetric group S_k via…
Graded identities of matrix algebras and the universal graded algebra
Eli Aljadeff, Darrell Haile, Michael Natapov
We consider fine G-gradings on M_n(C) (i.e. gradings of the matrix algebra over the complex numbers where each component is 1 dimensional). Groups which provide such a grading are…
Projective bases of division algebras and groups of central type II
Michael Natapov
Let G be a finite group and let k be a field. We say that G is a projective basis of a k-algebra A if it is isomorphic to a twisted group algebra k^αG for some class αin H^2(G,k^\t…