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Coxeter–Dynkin diagram
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1	ROLLING OF COXETER POLYHEDRA ALONG MIRRORS DMITRI V. ALEKSEEVSKI, PETER W. MICHOR, YURII A. NERETIN Abstract. The topic of the paper are developments of n-dimensional Coxeter polyhedra. We show that the surface of such p Add to Reading List Source URL: www.mat.univie.ac.at Language: English - Date: 2012-04-24 14:07:46 Polytopes Symmetry Polyhedron Icosahedron Coxeter group Reflection group Cube Tessellation Coxeter–Dynkin diagram Geometry Platonic solids Polyhedra
2	Contents Introduction ix 1 Coxeter groups[removed]Words, lengths, presentations of groups[removed]Coxeter groups, systems, diagrams[removed]Reflections, roots 2 Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2008-04-08 17:53:20 Lie groups Coxeter groups Representation theory Building Geometric group theory Iwahori subgroup Coxeter–Dynkin diagram Weyl group Jacques Tits Abstract algebra Group theory Algebra
3	Surface subgroups of Coxeter and Artin groups. C. McA. Gordon∗, D. D. Long† & A. W. Reid‡ August 11, 2003 Abstract We prove that any Coxeter group that is not virtually free contains a surface group. In Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2003-08-11 08:34:24 Geometric group theory Coxeter group Orbifold Hyperbolic group Artin group Coxeter–Dynkin diagram Fundamental group Stallings theorem about ends of groups Train track map Abstract algebra Geometry Group theory
4	Constructing non-positively curved spaces and groups Day 3: Artin groups and Add to Reading List Source URL: www.math.ucsb.edu Language: English - Date: 2003-07-11 18:29:12 Lie groups Artin group Geometric group theory Coxeter group Dynkin diagram E7 E6 Braid group Noncrossing partition Abstract algebra Algebra Group theory
5	Existence of CAT(0) structures for finite type Artin groups Add to Reading List Source URL: www.math.ucsb.edu Language: English - Date: 2003-06-13 02:28:58 Group theory Artin group Geometric group theory Coxeter group Dynkin diagram 3 21 polytope Abstract algebra Algebra Geometry
6	RIGIDITY OF COXETER GROUPS AND ARTIN GROUPS ¨ NOEL BRADY1, JONATHAN P. MCCAMMOND2, BERNHARD MUHLHERR, AND WALTER D. NEUMANN3 Abstract. A Coxeter group is rigid if it cannot be defined by two nonisomorphic diagrams. Ther Add to Reading List Source URL: www.math.ucsb.edu Language: English - Date: 2003-08-13 14:21:40 Geometric group theory Coxeter groups Lie algebras Artin group Coxeter–Dynkin diagram Dynkin diagram Building Harold Scott MacDonald Coxeter Icosahedron Abstract algebra Algebra Group theory
7	Affine Coxeter group W a (A4 ) , Quaternions, and Decagonal Quasicrystals Mehmet Kocaa), Nazife O. Kocab) Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-03-26 20:01:30 Lie groups Lie algebras Coxeter groups Lattice points Quadratic forms 24-cell Root system Coxeter–Dynkin diagram Dynkin diagram Abstract algebra Geometry Group theory
8	PDF Document Add to Reading List Source URL: www.ams.org Language: English - Date: 2011-07-29 08:32:25 Coxeter group Lie algebras Kazhdan–Lusztig polynomial Reflection group Weyl group Iwahori–Hecke algebra Coxeter–Dynkin diagram Abstract algebra Algebra Geometry
9	PDF Document Add to Reading List Source URL: arxiv.org Language: English - Date: 2012-06-19 21:07:37 Algebra Group theory Dynkin diagram Root system Coxeter group E8 Simple Lie group G2 Weyl group Abstract algebra Lie groups Lie algebras
10	PDF Document Add to Reading List Source URL: bendwavy.org Language: English - Date: 2011-01-25 12:39:46 Polyhedra Coxeter–Dynkin diagram Uniform polychoron Alternation Snub 24-cell Uniform polyhedron Icosahedron Snub dodecahedron Uniform polytope Geometry Polychora Polytopes