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Complex Reflection Subgroups of Real Reflection Groups
Let \(V\) be an \(n\)-dimensional complex vector space, \(G\) an irreducible rank \(n\) complex, but not complexified, reflection group in \(V\), and \(W\) an irreducible rank \(2n\) finite real reflection group in \(_\mathbb{R} V\) such that ...
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On partition algebras for complex reflection groups
This article is a valuable addition to the topic of partition algebras which was first introduced by Jones and Martin. The author concentrates on the partition algebra of the symmetric group. One of the main results that this paper comes up with is the explicit decomposition of the wreath product of \(\mathbb{Z}_r\) and \(S_n\), and decomposition of ...
Rosa Orellana
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Cyclic Sieving of Noncrossing Partitions for Complex Reflection Groups [PDF]
23 pages; final version to appear in Annals of ...
David Bessis, VÍCTOR Reiner
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Learners’ perceptions of the medical pause: cognitive load and team performance [PDF]
IntroductionThe medical pause is a theoretical framework describing how brief interruptions in clinical activities can optimize cognitive load through reflection and relaxation.
Joy. Y. Lee +9 more
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Holding Complex Spaces Through Relational Work: A Qualitative Descriptive Study of Co‐Design Facilitation [PDF]
Introduction Involving patients and the public in healthcare research, development and innovation is becoming mandatory. Co‐design is a structured approach to collaboratively investigating and finding solutions to complex problems that brings together ...
B. Heckemann +6 more
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The minimal degree for a class of finite complex reflection groups
We calculate the minimal degree for a class of finite complex reflection groups $G(p,p,q)$, for $p$ and $q$ primes and establish relationships between minimal degrees when these groups are taken in a direct product.
Neil Saunders
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NORMAL REFLECTION SUBGROUPS OF COMPLEX REFLECTION GROUPS [PDF]
AbstractWe study normal reflection subgroups of complex reflection groups. Our approach leads to a refinement of a theorem of Orlik and Solomon to the effect that the generating function for fixed-space dimension over a reflection group is a product of linear factors involving generalised exponents.
Carlos E. Arreche, Nathan F. Williams
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Complex reflection groups and K3 surfaces I [PDF]
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. In particular we classify
Cédric Bonnafé, Alessandra Sarti
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Reflection ordering in the imprimitive complex reflection group G(m, p, n)
Assume that m, p and n are positive integers, and p divides m. Let G(m, p, n) be an imprimitive complex refelction group. A partial ordering is introduced in the group G(m, p, n), as following reference, which is called the reflection ordering.
HONG Feifei, LI Jingjing, WANG Li
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Completely positive maps for imprimitive complex reflection groups
In 1994, M. Bożejko and R. Speicher proved the existence of completely positive quasimultiplicative maps from the group algebra of Coxeter groups to the set of bounded operators.
H. Randriamaro
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