Semidirect Product Decomposition of Coxeter Groups

Keywords

Coxeter group, Semidirect product, Mathematics, Decomposition, Coxeter complex

References

• Semicontinuity properties of Kazhdan-Lusztig cellsCédric Bonnafé — 2008
• Characters of Finite Coxeter Groups and Iwahori-Hecke AlgebrasMeinolf Geck, Golz Pfeiffer — 2000
• Semi-continuité des cellules de Kazhdan-LusztigCédric Bonnafé — 2008
• Around Solomon’s Descent AlgebrasCédric Bonnafé, Götz Pfeiffer — 2006
• Reflection subgroups of Coxeter systemsMatthew Dyer — 1990
• Reflection subgroups of Coxeter groupsAnna Felikson, Pavel Tumarkin — 2007
• The Set of Dominance-Minimal Roots☆Brigitte Brink — 1998
• A Mackey formula in the group ring of a Coxeter groupLouis Solomon — 1976
• Quotients et extensions de groupes de réflexionDavid Bessis, Cédric Bonnafé, R. Rouquier — 2002
• On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic SubgroupsŚwiatosław R. Gal — 2005
• GROUPES ET ALGÉBRES DE LIEP. M. Cohn — 1977
• On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic SubgroupsŚwiatosław R. Gal — 2012

Cited by

• Imaginary cones and limit roots of infinite Coxeter groupsMatthew Dyer, Christophe Hohlweg, Vivien Ripoll — 2013
• Semicontinuity properties of Kazhdan-Lusztig cellsCédric Bonnafé — 2008
• Imaginary cone and reflection subgroups of Coxeter groupsMatthew Dyer — 2012
• Cellules de Calogero-MoserCédric Bonnafé, Raphaël Rouquier — 2013
• Asymptotic lowest two-sided cellCédric Bonnafé, Jérémie Guilhot — 2011
• Semi-continuité des cellules de Kazhdan-LusztigCédric Bonnafé — 2008
• DISTRIBUTION OF ACCUMULATION POINTS OF ROOTS FOR TYPE (n - 1, 1) COXETER GROUPSAkihiro Higashitani, Ryosuke Mineyama, Norihiro Nakashima — 2012
• Groupoids, root systems and weak order IIMatthew Dyer — 2011
• Polyhedral Combinatorics of Coxeter GroupsJean‐Philippe Labbé — 2013
• Cannon-Thurston maps for Coxeter groups with signature (n-1,1)Ryosuke Mineyama — 2013
• On inversion sets and the weak order in Coxeter groupsChristophe Hohlweg, Jean‐Philippe Labbé — 2015
• On the Weak Order of Coxeter GroupsMatthew Dyer — 2011
• Asymptotical Behaviour of Roots of Infinite Coxeter GroupsChristophe Hohlweg, Jean‐Philippe Labbé, Vivien Ripoll — 2011
• Reduced expressions in semidirect products of Coxeter groupsTom Edgar — 2009
• Reflection subgroups of finite and affine Weyl groupsMatthew Dyer, G Lehrer — 2009
• Root subsystems of loop extensionsMatthew Dyer, G Lehrer — 2011
• KAZHDAN-LUSZTIG CELLS IN AFFINE WEYL GROUPS WITH UNEQUAL PARAMETERSJérémie Guilhot — 2008
• Small roots, low elements, and the weak order in Coxeter groupsMatthew Dyer, Christophe Hohlweg — 2015
• Cherednik algebras and Calogero-Moser cellsCédric Bonnafé, Raphaël Rouquier — 2017
• Hecke Algebras of Normalizers of Parabolic SubgroupsThomas Gobet, Iván Marín — 2020

Related papers

• The low-dimensional homology of finite-rank Coxeter groupsRachael Boyd — 2018
• Reflection triangles in Coxeter groups and biautomaticityPierre‐Emmanuel Caprace, Bernhard Mühlherr — 2005
• A Characterization of the Simply-Laced FC-Finite Coxeter GroupsManabu Hagiwara, Masao Ishikawa, Hiroyuki Tagawa — 2004
• Affine Deligne-Lusztig Varieties of Positive Coxeter TypeFelix Schremmer, Ryosuke Shimada, Qingchao Yu — 2023
• Surface subgroups of Coxeter and Artin groupsC. McA. Gordon, D. D. Long, Alan W. Reid — 2004
• The groups and Coxeter groupsVassily Olegovich Manturov — 2015
• A Combinatorial Construction of the Weak Order of a Coxeter GroupPřemysl Jedlička — 2005