[Timothée Marquis]    [Publications]    [Seminar]

# Book

• An introduction to Kac-Moody groups over fields
EMS Textbooks in Mathematics (2018), European Mathematical Society (EMS), Zürich. ISBN 978-3-03719-187-3. doi | abstract

# Publications and preprints

• Cyclically reduced elements in Coxeter groups
preprint (2018). pdf | doi | arXiv | abstract

• On the structure of Kac-Moody algebras
preprint (2018). pdf | doi | arXiv | abstract

• Closed sets of real roots in Kac-Moody root systems (with Pierre-Emmanuel Caprace)
preprint (2018). pdf | doi | arXiv | abstract

• On geodesic ray bundles in buildings
Geometriae Dedicata (2018). pdf | doi | arXiv | abstract

• Half-Lie groups (with Karl-Hermann Neeb)
Transform. Groups 23 (2018), no. 3, 801-840. pdf | doi | arXiv | abstract

• Positive energy representations of double extensions of Hilbert loop algebras (with Karl-Hermann Neeb)
J. Math. Soc. Japan 69 Nr. 4 (2017), 1485-1518. pdf | doi | arXiv | abstract

• Around the Lie correspondence for complete Kac-Moody groups and Gabber-Kac simplicity
to appear in Annales de l'Institut Fourier (2019), 69 pages. pdf | doi | arXiv | abstract

• Isomorphisms of twisted Hilbert loop algebras (with Karl-Hermann Neeb)
Canad. J. Math. 69 (2017), 453-480. pdf | doi | arXiv | abstract

• Positive energy representations for locally finite split Lie algebras (with Karl-Hermann Neeb)
Int. Math. Res. Notices (2016); 2016 (21): 6689-6712. pdf | doi | arXiv | abstract

• Conjugacy classes and straight elements in Coxeter groups
Journal of Algebra 407 (2014), pp. 68-80. pdf | doi | arXiv | abstract

• Topological Kac-Moody groups and their subgroups
Ph.D. thesis (April 2013), Université Catholique de Louvain. pdf | abstract

• Abstract simplicity of locally compact Kac-Moody groups
Compositio Math. 150 (2014), pp. 713-728. pdf | doi | arXiv | abstract

• A fixed point theorem for Lie groups acting on buildings and applications to Kac-Moody theory
Forum Mathematicum 27 Nr. 1 (2015), pp. 449–466. pdf | doi | arXiv | abstract

• Open subgroups of locally compact Kac-Moody groups (with Pierre-Emmanuel Caprace)
Math. Z. 274 Nr. 1-2 (2013), pp. 291–313. pdf | doi | arXiv | abstract

• Can an anisotropic reductive group admit a Tits system? (with Pierre-Emmanuel Caprace)
Pure and Appl. Math. Quart. 7 Nr. 3 (2011), pp. 539–558. pdf | doi | arXiv | abstract

• Angle-deformations in Coxeter groups (with Bernhard Mühlherr)
Algebraic & Geometric Topology 8 (2008), pp. 2175–2208 pdf | doi | arXiv | abstract