Reflection Groups And Coxeter Groups

By S. Hirsch. 2016

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The freeness of ideal subarrangements of Weyl arrangements (2013, unknown): “Our standard references on root systems are [3] and [4].”
On parabolic subgroups of Artin groups (2022, unknown): “For more information on the length function of Coxeter groups see [Hum90].”
k-Schur Functions and Affine Schubert Calculus (2013, methodology): “We shall assume basic familiarity with Weyl groups, root systems, and weights [64, 67].”
Vortices and Other Topological Solitons in Dense Quark Matter (2013, background): “Interestingly, it is found that σM k obeys the Coxeter group [80,177].”
Geodesic Finite Elements of Higher Order (2015, background): “The symmetry group S is generated by reflections at planes perpendicularly bisecting the simplex edges [13], and in barycentric coordinates these reflections correspond to transpositions of axes.”
Subword complexes, cluster complexes, and generalized multi-associahedra (2011, methodology): “We refer the reader to [28] for further definitions and a detailed introduction to finite Coxeter groups.”
"Building" exact confidence nets (2014, methodology): “For background reading on the theory of reflection groups and buildings there are many good sources, but we recommend in particular Humphreys [19], Abramenko and Brown [1] and Kane [21].”
Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations (2015, unknown): “, [27, 28].”