Page De Michaël Bulois

Research documents:

Preprints:

list of arXiv preprints

Publications:

M. Bulois and N. Ressayre, On the automorphisms of the Drinfel'd double of a Borel Lie subalgebra, Journal of Algebra, 647 (2024), 515--532 (Article local preprint, arXiv: 2002.03395, talk video)
M. Bulois, L. Moser-Jauslin and R. Terpereau, Real Structures on Nilpotent Orbit Closures, Journal of Lie Theory, 32 (3) (2022), 821--838. (Article local preprint, arXiv: 2106.04444)
M. Boos and M. Bulois, Parabolic conjugation and commuting varieties, Transformation Groups, 24 (2019), 951--986 (Article local preprint, arXiv: 1604.08840)
M. Bulois, On the normality of the null-fiber of the moment map for theta- and tori representations, Journal of Algebra, 507 (2018), 502--524 (Article, local preprint, arXiv: 1706.05456, Computations)
M. Bulois, C. Lehn, M. Lehn and R. Terpereau, Towards a symplectic version of the Chevalley restriction theorem, Compositio Mathematica, 153 no.4 (2017), 647--666 (Article, local preprint, arXiv: 1604.04121)
M. Bulois and P. Hivert, Sheets in symmetric Lie algebras and slice induction, Transformation Groups, 21 no.2 (2016), 355--375 (Article, local preprint, arXiv: 1407.1010, Computations).
M. Bulois and L. Evain, Nested punctual Hilbert schemes and commuting varieties of parabolic subalgebras, Journal of Lie Theory, 26 no. 2 (2016), 497--533 (Article, local preprint, arXiv: 1306.4838)
M. Bulois, The closure of a sheet is not always a union of sheets, some counterexamples, Appendix of G. Carnovale's paper, Lusztig's partition and sheets, Mathematical Research Letters, 22 no. 3 (2015), 645--664. (Article local preprint, arXiv: 1307.8302)
M. Bulois, Irregular locus of the commuting variety of reductive symmetric Lie algebras and rigid pairs, Transformation Groups, 16 no. 4 (2011), 1027--1061 (Article, local preprint, arXiv: 1009.0688).
M. Bulois, Very nilpotent basis and n-tuples in Borel subalgebras, Comptes Rendus Mathematique, 349 (2011), 149--152 (Article, local preprint, arXiv:1010.0821).
M. Bulois, Sheets of Symmetric Lie Algebras and Slodowy Slices, Journal of Lie Theory, 21 (2011), 1--54 (Article, local preprint, arXiv: 0906.3881, Summary).
M. Bulois, Composantes irréductibles de la variété commutante nilpotente d'une algèbre de Lie symétrique semi-simple, Annales de l'institut Fourier, 59 no. 1 (2009), 37--80 (Article, local preprint, arxiv: 0710.4464, Summary). [In french] (Irreducible components of the nilpotent commuting variety of a semisimple symmetric Lie algebra).

Congress acts:

M. Bulois, Sheets of semisimple symmetric Lie algebras, Oberwolfach Reports, 7 (2010), 1101–1163, (report).

Habilitation to Supervise Research defended on December 3rd 2020:

On commuting varieties and related topics.
Slide show of the defending. [In french]
Video of the defending. [In french]

Thesis defended on November 24th 2009:

Etude de quelques sous-variétés des algèbres de Lie semi-simples. Union of my two first papers concerning nilpotent commuting variety and sheets.
PHD advisor: Thierry Levasseur
Slide show of the defending. [In french]
Reports on the thesis by Dmitri Panyushev, Michel Brion, the examination panel.

Small results:

The closure of a sheet is not always a union of sheets, some counterexamples (pdf) .
Classification of p-self large elements (pdf), translation of the appendix of the paper on the nilpotent commuting variety.

- Cool non? - Michaël Bulois Last update: 09 January 2025 - nice website, isn't it?-