The low-dimensional homology of finite-rank Coxeter groups

Keywords

Coxeter group, Mathematics, Coxeter complex, Artin group, Coxeter element

References

• On the second cohomology groups(Schur-multipliers) of finite reflection groupsShin-ichiro Ihara, Takeo Yokonuma — 1965
• Groupes et géométries de CoxeterJacques Tits, Shiing-Shen Chern, Friedrich Hirzebruch — 2001
• Characters of Finite Coxeter Groups and Iwahori-Hecke AlgebrasMeinolf Geck, Golz Pfeiffer — 2000
• On the Schur Multipliers of Coxeter GroupsRobert B. Howlett — 1988
• Cohomology of coxeter groups and Artin groupsCorrado De Concini, Mario Salvetti — 2000
• PyCox: computing with (finite) Coxeter groups and Iwahori-Hecke algebrasMeinolf Geck — 2012
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1H. S. M. Coxeter — 1935
• REFLECTION GROUPS AND COXETER GROUPS (Cambridge Studies in Advanced Mathematics 29)R. W. Carter — 1991
• COHOMOLOGY OF GROUPS (Graduate Texts in Mathematics, 87)C. B. Thomas — 1984
• Homology of Coxeter and Artin groupsRachael Boyd — 2018
• Reflection Groups and Coxeter GroupsJames E. Humphreys — 1990
• Reflection groups and Coxeter groups: Coxeter groupsJ. Humphreys — 1990
• Reflection Groups and Coxeter GroupsA. Borovik, Gel'fand Im, N. White — 2003
• Cohomology of groupsL. Evens — 1991

Cited by

• Fox–Neuwirth cells, quantum shuffle algebras, and the homology of type-B Artin groupsAnh Trong Nam Hoang — 2022
• The homology of a Temperley–Lieb algebra on an odd number of strandsRobin J. Sroka — 2022
• Algebraic & GeometricJohn Etnyre, K. Hess, Steven Boyer

Related papers

• Some combinatorial models for reduced expressions in Coxeter groupsHugh Denoncourt — 2011
• Reflection triangles in Coxeter groups and biautomaticityPierre‐Emmanuel Caprace, Bernhard Mühlherr — 2005
• Geometric representations of Coxeter groups with respect to asymmetric bilinear formsRobert G. Donnelly — 2007
• A Characterization of the Simply-Laced FC-Finite Coxeter GroupsManabu Hagiwara, Masao Ishikawa, Hiroyuki Tagawa — 2004
• Reflection Representations of Coxeter Groups and Homology of Coxeter GraphsHongsheng Hu — 2023
• Affine Deligne-Lusztig Varieties of Positive Coxeter TypeFelix Schremmer, Ryosuke Shimada, Qingchao Yu — 2023