Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Haile, Darrell"'
An associative central simple algebra is a form of matrices, because a maximal \'{e}tale subalgebra acts on the algebra faithfully by left and right multiplication. In an attempt to extract and isolate the full potential of this point of view, we stu
Externí odkaz:
http://arxiv.org/abs/2308.14653
Publikováno v:
In Journal of Algebra 1 July 2024 649:35-84
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 center, we can associate to a faithful $G$-grading on $D$ a normal abelia
Externí odkaz:
http://arxiv.org/abs/1904.10686
Publikováno v:
In Journal of Algebra 1 August 2021 579:1-25
Autor:
Haile, Darrell, Natapov, Michael
Let $G$ be a group of order $k$. We consider the algebra $M_k(\mathbb{C})$ of $k$ by $k$ matrices over the complex numbers and view it as a crossed product with respect to $G$ by embedding $G$ in the symmetric group $S_k$ via the regular representati
Externí odkaz:
http://arxiv.org/abs/1506.00969
Autor:
Aljadeff, Eli, Haile, Darrell
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 a G-graded isomorphism by its G-graded polynomial identities. This res
Externí odkaz:
http://arxiv.org/abs/1107.4713
Autor:
Haile, Darrell, Natapov, Michael
Publikováno v:
J. Algebra 365, 147-162 (2012)
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 the regular representation and embedding S_k in M_k(C) in the usual wa
Externí odkaz:
http://arxiv.org/abs/1106.0133
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 relative Brauer group Br(k(C_f)/k) of k(C_f) over k. When f is diagonal
Externí odkaz:
http://arxiv.org/abs/1004.0714
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 known to be solvable. We consider the T-ideal of G-graded identities a
Externí odkaz:
http://arxiv.org/abs/0710.5568
Autor:
Haile, Darrell, Natapov, Michael
Publikováno v:
In Journal of Algebra 15 October 2016 464:175-197