Prof. Dr. Max Horn
AG Algebra, Geometrie und Computeralgebra (AGAG)
Fachbereich Mathematik
RPTU Kaiserslautern-Landau
Gottlieb-Daimler-Straße 48
67663 Kaiserslautern
Gebäude 48, Raum 430
Telefon: +49 (631) 205-2730
E-Mail: mhorn [at] rptu.de
Software
- Seit Juli 2022 bin ich Koordinator des GAP Computeralgebrasystems.
- Seit Januar 2021 bin ich Ko-Leiter des OSCAR Computeralgebrasystems.
Forschungs- und Interessengebiete
- Geometrie: Gebäude, Automorphismen, Involutionen, Flips
- Gruppentheorie: Algebraische Gruppen, Amalgame, Kac-Moody-Gruppen, Gruppen vom Lie-Typ
- Computeralgebra mit Schwerpunkt algorithmische Gruppentheorie
Veröffentlichungen
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The complete Phan-type theorem for $Sp(2n,q)$J. Group Theory 9 (2006), no. 5, 603–626
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Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 2: machine computationsJ. Algebra 316 (2007), no. 2, 591–607
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On the Phan system of the Schur cover of $SU(4,3^2)$Designs, Codes and Cryptography 47 (2008), 243–247
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Intransitive geometries and fused amalgamsJ. Group Theory 11 (2008), 443–464
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Iwasawa decompositions of split Kac-Moody groupsJ. Lie Theory 19 (2009), no. 2, 311–337
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Abstract involutions of algebraic groups and of Kac-Moody groupsJ. Group Theory 14 (2011), 213–249
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Lie algebras and 3-transpositionsJ. Algebra 368 (2012), 21–39
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Schur multipliers and the Lazard correspondenceArchiv der Mathematik 99 (2012), no. 3, 217–226
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The construction of finite solvable groups revisitedJ. Algebra 408 (2014), 166–182
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Second cohomology of Lie rings and the Schur multiplierIntl. J. Group Theory 3 (2014), no. 2, 9–20
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Cartan-Bott periodicity for the real $E_n$ series (appendix to "Generalized spin representations" by Guntram Hainke, Ralf Köhl, and Paul Levy)Münster J. of Math 8 (2015), 181–210
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Simple Connectivity in Polar SpacesForum Mathematicum 28 (2015), no. 3, 491–505
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Isomorphisms and rigidity of arithmetic Kac-Moody groupsJ. Lie Theory 26 (2016), no. 2, 1079–1105
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Moufang twin trees of prime orderAdv. Math. 302 (2016), 1–24
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Spin covers of maximal compact subgroups of Kac-Moody groups, and Spin-extended Weyl groupsJ. Group Theory 20 (2017), no. 3, 401–504
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Constructing groups of ‘small’ order: Recent results and open problemsChapter in "Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory", Springer (2017), –
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Kac-Moody symmetric spacesMünster J. of Math 13 (2020), 1–114
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Decompositions of Kac-Moody groupsin Vorbereitung
Beiträge in Tagungsbänden
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Computing polycyclic quotients of finitely (L-)presented groups via Groebner bases
Andere (nicht referierte) Publikationen
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The GAP package SingularInterface.Computeralgebra-Rundbrief 55 (2014), 29–33
Frühere Projekte
- Diplomarbeit: Amalgams of unitary groups in Sp(2n,q).
TU Darmstadt (eingereichte Version)
Betreut von Ralf Gramlich und Werner Nickel. - Dissertation: Involutions of Kac-Moody groups.
TU Darmstadt
Betreut von Ralf Gramlich.