Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773148 | Linear Algebra and its Applications | 2017 | 9 Pages |
Abstract
Let Mn(K) denote the algebra of nÃn matrices over a field K of characteristic zero. A nonunital subalgebra NâMn(K) will be called a nonunital intersection if N is the intersection of two unital subalgebras of Mn(K). Appealing to recent work of Agore, we show that for nâ¥3, the dimension (over K) of a nonunital intersection is at most (nâ1)(nâ2), and we completely classify the nonunital intersections of maximum dimension (nâ1)(nâ2). We also classify the unital subalgebras of maximum dimension properly contained in a parabolic subalgebra of maximum dimension in Mn(K).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
John Eggers, Ron Evans, Mark Van Veen,