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The topology of fullerenes. [PDF]
Wiley Interdiscip Rev Comput Mol Sci, 2015 Schwerdtfeger P, Wirz LN, Avery J.
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Effectiveness of de-implementation of low-value healthcare practices: an overview of systematic reviews. [PDF]
Implement SciKien C +9 more
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2017
This chapter develops a theory of descent for buildings by assembling various results about Coxeter groups. It begins with the notation stating that W is an arbitrary group with a distinguished set of generators S containing only elements of order 2, with MS denoting the free monoid on the set S and l: MS → ℕ denoting the length function.
Bernhard M¨uhlherr +2 more
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This chapter develops a theory of descent for buildings by assembling various results about Coxeter groups. It begins with the notation stating that W is an arbitrary group with a distinguished set of generators S containing only elements of order 2, with MS denoting the free monoid on the set S and l: MS → ℕ denoting the length function.
Bernhard M¨uhlherr +2 more
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Physics Letters A, 1991
Abstract We describe the construction of a class of mappings in projective space C PN for any N. These mappings are non-linear representations of Coxeter groups by birational and therefore almost everywhere defined and invertible transformations. We give specific examples of the construction and exhibit algebraic invariants.
Bellon, M.P. +2 more
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Abstract We describe the construction of a class of mappings in projective space C PN for any N. These mappings are non-linear representations of Coxeter groups by birational and therefore almost everywhere defined and invertible transformations. We give specific examples of the construction and exhibit algebraic invariants.
Bellon, M.P. +2 more
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On Isomorphisms between Coxeter Groups
Designs, Codes and Cryptography, 2000The author exhibits two non-isomorphic connected Coxeter diagrams of rank 4 (with labels 3 and \(\infty\)) such that the corresponding Coxeter groups are isomorphic. For related results compare \textit{T. Brady, J. P. McCammond, B. Mühlherr} and \textit{W. D. Neumann} [Geom. Dedicata 94, No. 1, 91-109 (2002)] and \textit{B.
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1995
Any discrete group W generated by reflections in a space of constant curvature X (discrete reflection group) can be described in terms of its fundamental region P,which is a convex polyhedron whose dihedral angles are proper submultiples of π. By immersing the space X in a linear space E (the ambient space), P extends to a convex polyhedral cone C p ...
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Any discrete group W generated by reflections in a space of constant curvature X (discrete reflection group) can be described in terms of its fundamental region P,which is a convex polyhedron whose dihedral angles are proper submultiples of π. By immersing the space X in a linear space E (the ambient space), P extends to a convex polyhedral cone C p ...
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2017
This chapter, mostly taken from an article of Shi and Yang, contains the full description of cells and the proof of Lusztig’s Conjectures for free Coxeter groups (often called universal Coxeter groups).
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This chapter, mostly taken from an article of Shi and Yang, contains the full description of cells and the proof of Lusztig’s Conjectures for free Coxeter groups (often called universal Coxeter groups).
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