- Auslander regular algebras and Coxeter matrices
2025/01/16 by Viktória Klász, René Marczinzik, Klász, Viktória +4 · 4 citations
Computer Science · Engineering · Mathematics · #Advanced Topics in Algebra #Algebra over a field #Combinatorics #Coxeter group #Mathematics #Matrix Theory and Algorithms #Pure mathematics #graph theory and CDMA systems #math.CO #math.RT
- Geometry and combinatorics via right-angled Artin groups
2021/03/16 by Thomas Koberda, Koberda, Thomas · 1 citation
Computer Science · Mathematics · #Advanced Graph Theory Research #Artin group #Combinatorics #Combinatorics (math.CO) #Coxeter group #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Graph #Group (periodic table) #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Mathematics #Physics #math.CO #math.GR #math.GT
- 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
- The sorting order on a Coxeter group
2009/04/17 by Drew Armstrong · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Algorithm #Artin group #Bruhat order #Combinatorics #Coxeter group #Discrete mathematics #Distributive lattice #Distributive property #Lattice (music) #Mathematics #Partially ordered set #Physics #Point group #Pure mathematics #Sorting #Symmetric group #semigroups and automata theory
- Notes on Coxeter Transformations and the McKay Correspondence
2008/01/01 by Rafael Stekolshchik · 2 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)
- COMPLETING ARTIN'S BRAID GROUP ON INFINITELY MANY STRANDS
2005/12/01 by Paul Fabel · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Artin group #Braid #Braid group #Braid theory #Combinatorics #Coxeter group #Discrete mathematics #Fundamental group #Generalization #Geometric and Algebraic Topology #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Order (exchange) #Pure mathematics
- Abstract Regular Polytopes
2002/12/12 by Peter McMullen, Egon Schulte · 2 citations
Mathematics · #Mathematics and Applications #Polytope #Coxeter group #Polyhedron #Mathematics #Combinatorics #Polyhedral combinatorics #Discrete geometry #Group (periodic table) #Geometry and topology #Symmetry group #Geometry #Regular polygon #Physics
- The automorphisms of affine fusion rings
2000/02/07 by T. Gannon, Terry Gannon, Gannon, T. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine Lie algebra #Affine plane (incidence geometry) #Affine representation #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Automorphism #Coxeter group #Current algebra #FOS: Mathematics #FOS: Physical sciences #Fusion #Geometry #High Energy Physics - Theory (hep-th) #Homogeneous space #Linguistics #Mathematics #Nonlinear Waves and Solitons #Philosophy #Pure mathematics #Quantum Algebra (math.QA) #hep-th #math.QA
- A generalization of the LLL-algorithm over euclidean rings or orders
1996/01/01 by Huguette Napias · 1 citation
Mathematics · Materials Science · Computer Science · #Advanced Combinatorial Mathematics #Quasicrystal Structures and Properties #Cellular Automata and Applications #Mathematics #Euclidean algorithm #Lattice (music) #Euclidean geometry #Combinatorics #Algebraic number #Coxeter group #Lattice problem #Quaternion #Discrete mathematics #Algorithm #Geometry #Mathematical analysis #Cryptography
- 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
- Fock representations of the affine Lie algebraA 1 (1)
1986/12/01 by Minoru Wakimoto · 35 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Affine transformation #Algebraic structures and combinatorial models #Cover (algebra) #Coxeter group #Fock space #Fundamental representation #Gravitational singularity #Integrable system #Lie algebra #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum mechanics #Weight
- A Polyhedral Realization of Felix Klein's Map 3, 78 on a Riemann Surface of Genus 3
1985/12/01 by Egon Schulte, J. M. Wills · 2 citations
Mathematics · #Mathematics and Applications #History and Theory of Mathematics #Riemann surface #Genus #Coxeter group #Mathematics #Realization (probability) #Quintic function #Pure mathematics #Surface (topology) #Transformation (genetics) #Euclidean space #Riemann sphere #Simple (philosophy) #Algebra over a field #Geometry #Physics #Quantum mechanics
- The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
1983/01/01 by John H. Conway, J.H Conway · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Automorphism #Automorphism group #Combinatorics #Coxeter group #Group (periodic table) #Inner automorphism #Lattice (music) #Mathematics #Outer automorphism group #Physics #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Unimodular matrix
- 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)
- Regular polyhedra—old and new
1977/02/01 by Branko Grünbaum · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Materials and Mechanics #Algorithm #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Coxeter group #Euclidean geometry #Euclidean space #Geometry #Integer points in convex polyhedra #Mathematics #Point (geometry) #Polyhedron #Space (punctuation) #Structural Analysis and Optimization #Tetrahedron
- Regular complex polytopes, by H.S.M. Coxeter. Pp x, 185. £9·80. 1975. SBN 0 521 20125 X (Cambridge University Press)
1975/10/01 by R. L. E. Schwarzenberger, R.L.E. Schwarzenberger · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics #Coxeter group #Mathematics #Polytope
- The complete set of uniform polyhedra
1975/03/06 by John Skilling · 5 citations
Computer Science · Mathematics · Engineering · #Advanced Graph Theory Research #Advanced Combinatorial Mathematics #graph theory and CDMA systems #Polyhedron #Combinatorics #Mathematics #Set (abstract data type) #Coxeter group #Computer science
- Artin-Gruppen und Coxeter-Gruppen
1972/12/01 by Egbert Brieskorn, Kyoji Saito · 52 citations
Computer Science · Materials Science · Mathematics · #Artin group #Combinatorics #Coxeter element #Coxeter group #Mathematics #Pure mathematics #Quasicrystal Structures and Properties #semigroups and automata theory
- Regular Skew Polyhedra in Hyperbolic Three-Space
1967/01/01 by Cyril W. L. Garner · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Cellular Automata and Applications #Combinatorics #Computer science #Coxeter group #DNA and Biological Computing #Euclidean space #Geometry #Mathematics #Polyhedron #Skew #Space (punctuation) #Tetrahedron #graph theory and CDMA systems
- Regular Skew Polyhedra in Three and Four Dimension, and their Topological Analogues
1938/01/01 by H. S. M. Coxeter · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Citation #Combinatorics #Computer science #Coxeter group #Dimension (graph theory) #Finite Group Theory Research #Library science #Mathematics #Polyhedron #Rank (graph theory) #Skew #graph theory and CDMA systems