Professor Benjamin Martin
Personal Chair
- About
-
- Email Address
- b.martin@abdn.ac.uk
- Telephone Number
- +44 (0)1224 272759
- Office Address
Fraser Noble 155
- School/Department
- School of Natural and Computing Sciences
Latest Publications
On overgroups of distinguished unipotent elements in reductive groups and finite groups of Lie type
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2407.16379
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/24148/1/2407.16379v1.pdf
Powers of commutators in linear algebraic groups
Proceedings of the Edinburgh Mathematical SocietyContributions to Journals: ArticlesG-complete reducibility and saturation
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2401.16927
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/22731/1/2401.16927v1.pdf
Complete reducibility for Lie subalgebras and semisimplification
European Journal of Mathematics, vol. 9, 116Contributions to Journals: ArticlesEdifices: Building-like spaces associated to linear algebraic groups
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial, vol. 20, no. 2-3, pp. 79-134Contributions to Journals: Articles
- Publications
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Page 1 of 1 Results 1 to 20 of 20
On overgroups of distinguished unipotent elements in reductive groups and finite groups of Lie type
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2407.16379
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/24148/1/2407.16379v1.pdf
Powers of commutators in linear algebraic groups
Proceedings of the Edinburgh Mathematical SocietyContributions to Journals: ArticlesG-complete reducibility and saturation
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2401.16927
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/22731/1/2401.16927v1.pdf
Complete reducibility for Lie subalgebras and semisimplification
European Journal of Mathematics, vol. 9, 116Contributions to Journals: ArticlesEdifices: Building-like spaces associated to linear algebraic groups
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial, vol. 20, no. 2-3, pp. 79-134Contributions to Journals: ArticlesStrong and uniform boundedness of groups
Journal of Topology and Analysis, vol. 15, no. 3, pp. 707-739Contributions to Journals: ArticlesAlgebraic groups and $G$-complete reducibility: a geometric approach
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2207.12169
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/19641/1/2207.12169v1.pdf
Uniform boundedness for algebraic groups and Lie groups
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2202.13885
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/21382/1/2202.13885v1.pdf
- [ONLINE] http://arxiv.org/abs/2202.13885v1
Overgroups of regular unipotent elements in reductive groups
Forum of Mathematics, Sigma, vol. 10, e13Contributions to Journals: ArticlesSemisimplification for Subgroups of Reductive Algebraic Groups
Forum of Mathematics, Sigma, vol. 8, pp. 1-10Contributions to Journals: ArticlesOrbit Closures and Invariants
Mathematische Zeitschrift, vol. 293, no. 3-4, pp. 1121-1159Contributions to Journals: Articles- [ONLINE] https://arxiv.org/abs/1604.00924
- [ONLINE] DOI: https://doi.org/10.1007/s00209-019-02228-6
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/11836/2/Bate2019_MZ_OrbitClosuresAndInvariants_VoR.pdf
- [ONLINE] View publication in Scopus
- [ONLINE] View publication in Mendeley
- [ONLINE] https://abdn.pure.elsevier.com/en/en/researchoutput/orbit-closures-and-invariants(02bb85f2-4c0f-4c2a-8309-e82b90b356d0).html
On Unipotent Radicals of Pseudo-Reductive Groups
The Michigan Mathematical Journal, vol. 68, no. 2, pp. 277-299Contributions to Journals: Articles- [ONLINE] https://arxiv.org/abs/1704.04385
- [ONLINE] DOI: https://doi.org/10.1307/mmj/1550480563
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/11518/3/MMJ5377.pdf
- [ONLINE] View publication in Mendeley
- [ONLINE] View publication in Scopus
A proof of the first Kac-Weisfeiler conjecture in large characteristics
Representation Theory, vol. 23, pp. 278-293Contributions to Journals: Articles- [ONLINE] http://arxiv.org/abs/1810.12632v1
- [ONLINE] DOI: https://doi.org/10.1090/ert/529
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12662/2/1810.12632v1.pdf
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12662/1/GenericKW1withAppendix_AAM.pdf
- [ONLINE] View publication in Scopus
Definable equivalence relations and zeta functions of groups
Journal of the European Mathematical Society, vol. 20, no. 10, pp. 2467-2537Contributions to Journals: Articles- [ONLINE] https://arxiv.org/abs/math/0701011
- [ONLINE] DOI: https://doi.org/10.4171/JEMS/817
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12588/1/zeta_EIp.pdf
On a question of Külshammer for homomorphisms of algebraic groups
Journal of Algebra, vol. 497, pp. 164-198Contributions to Journals: Articles- [ONLINE] https://arxiv.org/abs/1610.09665
- [ONLINE] DOI: https://doi.org/10.1016/j.jalgebra.2017.08.031
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/11206/1/kulshammer.pdf
Cocharacter-closure and the rational Hilbert-Mumford Theorem
Mathematische Zeitschrift, vol. 287, no. 1-2, pp. 39-72Contributions to Journals: ArticlesOn a question of Külshammer for representations of finite groups in reductive groups
Israel Journal of Mathematics, vol. 214, no. 1, pp. 463-470Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/s11856-016-1337-2
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/8893/1/kuls.pdf
Cocharacter-closure and spherical buildings
Pacific Journal of Mathematics, vol. 279, no. 1-2, pp. 65-85Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.2140/pjm.2015.279.65
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/5370/1/pjm_v279_n1_p04_p.pdf
Generic stabilisers for actions of reductive groups
Pacific Journal of Mathematics, vol. 279, no. 1-2, pp. 397-422Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.2140/pjm.2015.279.397
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/5371/1/pjm_v279_n1_p18_p.pdf
G-complete reducibility in non-connected groups
Proceedings of the American Mathematical Society, vol. 143, no. 3, pp. 1085-1100Contributions to Journals: Articles