The Weyr matrix canonical form is a largely unknown cousin of the Jordan canonical form.
Discovered by Eduard Weyr in 1885, the Weyr form outperforms the Jordan form in a …

A bstract With the aim of understanding compactifications of 6D superconformal field
theories to four dimensions, we study punctures for theories of class\({\mathcal {S}} …

In 1999, B. Hassett and Yu. Tschinkel introduced a remarkable correspondence between
generically transitive actions of the commutative unipotent algebraic group Gan and finite …

There has been much work on strong and weak Lefschetz conditions for graded Artinian
algebras A, especially those that are Artinian Gorenstein. A more general invariant of an …

The Jordan type of an element $\ell $ of the maximal ideal of an Artinian k-algebra A acting
on an A-module M of k-dimension n, is the partition of n given by the Jordan block …

An $ n\times n $ nilpotent matrix $ B $ is determined up to conjugacy by a partition $ P_B $
of $ n $, its Jordan type given by the sizes of its Jordan blocks. The Jordan type $\mathfrak D …

Free extensions of graded Artinian algebras were introduced by T. Harima and J. Watanabe,
and were shown to preserve the strong Lefschetz property. The Jordan type of a …

Let G be a simple algebraic group defined over an algebraically closed field k of
characteristic p and let g be the Lie algebra of G. It is well known that for p large enough the …

arXiv:2304.08550v1 [math.AC] 17 Apr 2023 Page 1 arXiv:2304.08550v1 [math.AC] 17 Apr
2023 Commuting Jordan Types: a Survey Leila Khatami Abstract. In this paper, we survey the …

In this paper we characterize all nilpotent orbits under the action by conjugation that
intersect the nilpotent centralizer of a nilpotent matrix B consisting of two Jordan blocks of …