The poset of the nilpotent commutator of a nilpotent matrix
From MaRDI portal
Publication:2435573
DOI10.1016/j.laa.2013.09.045zbMath1305.15034arXiv1202.6089OpenAlexW2963162271MaRDI QIDQ2435573
Publication date: 19 February 2014
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.6089
Group actions on varieties or schemes (quotients) (14L30) Algebraic aspects of posets (06A11) Canonical forms, reductions, classification (15A21) Combinatorial aspects of commutative algebra (05E40)
Related Items (5)
On the maximal nilpotent orbit that intersects the centralizer of a matrix ⋮ Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix ⋮ The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix ⋮ Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit ⋮ Artinian algebras and Jordan type
Cites Work
- Commuting nilpotent matrices and Artinian algebras.
- Pairs of commuting nilpotent matrices, and Hilbert function
- On pairs of commuting nilpotent matrices
- Some partitions associated with a partially ordered set
- On the irreducibility of commuting varieties of nilpotent matrices
- Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix
- The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix
- Two results on centralisers of nilpotent elements
- The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras
- On the nilpotent commutator of a nilpotent matrix
- The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix
- Dilworth Numbers, Incidence Maps and Product Partial Orders
- Finite posets and Ferrers shapes
This page was built for publication: The poset of the nilpotent commutator of a nilpotent matrix
