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Scattering diagrams, tight gradings, and generalized positivity. [PDF]
Proc Natl Acad Sci U S ABurcroff A, Lee K, Mou L.
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Balanced ideals and domains of discontinuity of Anosov representations
, 2023 Stecker F.
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Quantum Talagrand, KKL and Friedgut's Theorems and the Learnability of Quantum Boolean Functions. [PDF]
Commun Math PhysRouzé C, Wirth M, Zhang H.
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Unravelling the Holomorphic Twist: Central Charges. [PDF]
Commun Math PhysBomans P, Wu 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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