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Enumerating projective reflection groups
Published 2011-01-01Subjects: “…reflection groups…”
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Finite reflection groups and graph norms
Published 2017“…This result includes all previously known examples of weakly norming graphs, but also allows us to identify a much broader class arising from finite reflection groups. We include several applications of our results. …”
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Combinatorial invariant theory of projective reflection groups
Published 2009-01-01Subjects: Get full text
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$q,t$-Fuß-Catalan numbers for complex reflection groups
Published 2008-01-01Subjects: Get full text
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Complex reflection groups and K3 surfaces I
Published 2021-02-01“…We construct here many families of K3 surfaces that one can obtain as quotients of algebraic surfaces by some subgroups of the rank four complex reflection groups. We find in total 15 families with at worst $ADE$--singularities. …”
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Completely positive maps for imprimitive complex reflection groups
Published 2021-10-01“…Speicher to imprimitive complex reflection groups, in other words to prove the existence of completely positive quasimultiplicative maps from the group algebra of imprimitive complex reflection groups to the set of bounded operators. …”
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Deformed diagonal harmonic polynomials for complex reflection groups
Published 2011-01-01Subjects: Get full text
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Submaximal factorizations of a Coxeter element in complex reflection groups
Published 2011-01-01Subjects: “…complex reflection groups…”
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Bijections between noncrossing and nonnesting partitions for classical reflection groups
Published 2009-01-01Subjects: Get full text
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On non-conjugate Coxeter elements in well-generated reflection groups
Published 2015-01-01Subjects: Get full text
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Isomorphisms, automorphisms, and generalized involution models of projective reflection groups
Published 2016“…We investigate the generalized involution models of the projective reflection groups G(r, p, q, n). This family of groups parametrizes all quotients of the complex reflection groups G(r, p, n) by scalar subgroups. …”
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On elliptic Calogero–Moser systems for complex crystallographic reflection groups
Published 2015“…To every irreducible finite crystallographic reflection group (i.e., an irreducible finite reflection group G acting faithfully on an abelian variety X), we attach a family of classical and quantum integrable systems on X (with meromorphic coefficients). …”
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Gröbner-Shirshov Bases for Temperley-Lieb Algebras of Complex Reflection Groups
Published 2018-09-01“…We construct a Gröbner-Shirshov basis of the Temperley-Lieb algebra T ( d , n ) of the complex reflection group G ( d , 1 , n ) , inducing the standard monomials expressed by the generators { E i } of T ( d , n ) . …”
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Implementing Reflective Group Work Activities in a Large Chemistry Lab to Support Collaborative Learning
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Tunable and light-controllable bistable reflected group delay based on nonlinear surface plasmon resonance with graphene
Published 2019-12-01“…Moreover, the large negative and positive of reflected group delay is sensitive to the thicknesses of the air layer. …”
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