Stratification of moduli spaces of Lie algebras, similar matrices and bilinear 
forms

Fialowski, Alice; Penkava, Michael

doi:10.1016/j.jalgebra.2017.11.046

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Stratification of moduli spaces of Lie algebras, similar matrices and bilinear forms

MPS-Authors

/persons/resource/persons235242

Fialowski, Alice
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1016/j.jalgebra.2017.11.046
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

arXiv:1708.01196.pdf
(Preprint), 235KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Fialowski, A., & Penkava, M. (2018). Stratification of moduli spaces of Lie algebras, similar matrices and bilinear forms. Journal of Algebra, 2018(498), 315-335. doi:10.1016/j.jalgebra.2017.11.046.

Cite as: https://hdl.handle.net/21.11116/0000-0004-4511-B

Abstract

In this paper, the authors apply a stratification of moduli spaces of complex Lie algebras to analyzing the moduli spaces of nxn matrices under scalar similarity and bilinear forms under the cogredient action. For similar matrices, we give a complete description of a stratification of the space by some very simple projective orbifolds of the form P^n/G, where G is a subgroup of the symmetric group sigma_{n+1} acting on P^n by permuting the projective
coordinates. For bilinear forms, we give a similar stratification up to dimension 4.