- Spherical and geodesic growth rates of right-angled Coxeter and Artin\n groups are Perron numbers
2018/09/25 by Alexander Kolpakov, A. G. Kolpakov, Alexey Talambutsa +2 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Artin group #Combinatorics #Combinatorics (math.CO) #Computer science #Coxeter complex #Coxeter element #Coxeter group #Dynamical Systems (math.DS) #FOS: Mathematics #Geodesic #Geometric and Algebraic Topology #Geometry #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Set (abstract data type) #Tetrahedron #math.CO #math.DS #math.GR
- Twisted Coxeter elements and folded AR-quivers via Dynkin diagram\n automorphisms: I
2016/05/31 by Se-jin Oh, Se‐jin Oh, Oh, Se-jin +2 · 2 citations
Mathematics · Physics and Astronomy · #05E10 #16T30 #17B37 #81R50 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Affine transformation #Algebraic structures and combinatorial models #Artin group #Automorphism #Combinatorics #Combinatorics (math.CO) #Coxeter complex #Coxeter element #Coxeter group #Diagram #Dynkin diagram #FOS: Mathematics #Geometry #Lie algebra #Mathematics #Nonlinear Waves and Solitons #Point (geometry) #Point group #Pure mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Representation theory #Type (biology) #math.CO #math.QA #math.RT #msc:05E10 #msc:16T30 #msc:17B37 #msc:81R50
- Simple transitive 2-representations of small quotients of Soergel\n bimodules
2016/05/04 by Tobias Kildetoft, Kildetoft, Tobias, Marco Mackaay +5 · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Artin group #Combinatorics #Coxeter complex #Coxeter element #Coxeter group #Longest element of a Coxeter group #Mathematics #Pure mathematics #Quotient #Simple (philosophy) #Transitive relation #math.CT #math.RT
- A note on the transitive Hurwitz action on decompositions of parabolic\n Coxeter elements
2014/02/11 by Barbara Baumeister, Baumeister, Barbara, Matthew Dyer +6 · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Artin group #Combinatorics #Coxeter complex #Coxeter element #Coxeter group #Element (criminal law) #Geometric and Algebraic Topology #Group (periodic table) #Longest element of a Coxeter group #Mathematics #Physics #Point group #Pure mathematics #Rank (graph theory) #Transitive relation #Weyl group #math.CO #math.GR #math.RT #msc:20F55
- A Clifford Algebraic Framework for Coxeter Group Theoretic Computations
2012/07/31 by Pierre-Philippe Dechant · 1 citation
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebra over a field #Artin group #Classification of Clifford algebras #Clifford algebra #Combinatorics #Conformal geometric algebra #Coxeter complex #Coxeter element #Coxeter group #Division algebra #Filtered algebra #Geometric algebra #Geometry #Icosahedral symmetry #Longest element of a Coxeter group #Mathematics #Point group #Pure mathematics #Quasicrystal #Quasicrystal Structures and Properties #Synthesis and Properties of Aromatic Compounds #cond-mat.mtrl-sci #hep-ph #hep-th #math-ph #math.MP #msc:15A66 #msc:20F55 #msc:51F15 #msc:51M20 #msc:52C23 #physics.bio-ph
- From the Coxeter Graph to the Klein Graph
2011/04/26 by Italo J. Dejter · 1 citation
Mathematics · Computer Science · #Finite Group Theory Research #Advanced Graph Theory Research #Algebraic structures and combinatorial models #Coxeter group #Combinatorics #Mathematics #Coxeter graph #Coxeter element #Regular graph #Dual graph #Voltage graph #Discrete mathematics #Longest element of a Coxeter group #Cubic graph #Graph #Coxeter complex #Line graph #Artin group
- Notes on Coxeter Transformations and the McKay Correspondence
2008/01/01 by Rafael Stekolshchik · 4 citations
Chemistry · Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Affine transformation #Algebraic structures and combinatorial models #Artin group #Chemistry #Combinatorics #Coxeter complex #Coxeter element #Coxeter group #Mathematics #Point group #Pure mathematics #Transformation (genetics)
- A finiteness property an an automatic structure for Coxeter groups
1993/12/01 by Brigitte Brink, Robert B. Howlett · 3 citations
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Artin group #Combinatorics #Coxeter complex #Coxeter element #Coxeter group #Geometric and Algebraic Topology #Mathematics #Property (philosophy) #Pure mathematics #semigroups and automata theory
- On the Schur Multipliers of Coxeter Groups
1988/10/01 by Robert B. Howlett · 2 citations
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Coding theory and cryptography #Coxeter group #Coxeter complex #Artin group #Point group #Longest element of a Coxeter group #Mathematics #Coxeter element #Schur multiplier #Pure mathematics #Rank (graph theory) #Combinatorics #Symmetric group
- On the root system of a coxeter group
1982/01/01 by Vinay V. Deodhar · 2 citations
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Artin group #Combinatorics #Coxeter complex #Coxeter element #Coxeter group #Group (periodic table) #Linguistics #Longest element of a Coxeter group #Mathematics #Molecular spectroscopy and chirality #Physics #Pure mathematics #Root (linguistics)
- Artin-Gruppen und Coxeter-Gruppen
1972/12/01 by Egbert Brieskorn, Kyoji Saito · 56 citations
Computer Science · Materials Science · Mathematics · #Artin group #Combinatorics #Coxeter element #Coxeter group #Mathematics #Pure mathematics #Quasicrystal Structures and Properties #semigroups and automata theory