Darrell E. Haile

activity

20072023

most citedSimple G-graded algebras and their polynomial identities

7 citations · 11 across the 4 of their papers we have counts for

collaborators

7 papers

math.RA2023

Semiassociative algebras over a field

Guy Blachar, Darrell Haile, Eliyahu Matzri +2

An associative central simple algebra is a form of matrices, because a maximal étale subalgebra acts on the algebra faithfully by left and right multiplication. In an attempt to ex…

math.RA2019

Division algebras graded by a finite group

Eli Aljadeff, Darrell Haile, Yakov Karasik

Let $k$ be a field containing an algebraically closed field of characteristic zero. If $G$ is a finite group and $D$ is a division algebra over $k$ , finite dimensional over its cen…

math.RA2015

Graded polynomial identities for matrices with the transpose involution

Darrell Haile, Michael Natapov

Let $G$ be a group of order $k$ . We consider the algebra $M_{k} (C)$ of $k$ by $k$ matrices over the complex numbers and view it as a crossed product with respect to $G$ by e…

math.RA2011★ 7 cited

Simple G-graded algebras and their polynomial identities

Eli Aljadeff, Darrell Haile

Let G be any group and F an algebraically closed field of characteristic zero. We show that any G-graded finite dimensional associative G-simple algebra over F is determined up to…

math.RA2011

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…

math.RA2010★ 2 cited

Curves C that are Cyclic Twists of Y^2 = X^3+c and the Relative Brauer Groups Br(k(C)/k

Darrell E. Haile, Ilseop Han, Adrian R. Wadsworth

Let k be a field with char(k) not 2 or 3. Let C_f be the projective curve of a binary cubic form f, and k(C_f) the function field of C_f. In this paper we explicitly describe the r…