Results 1 to 10 of about 973 (252)
Discrete complex reflection groups [PDF]
Communications in Mathematics, 2023 Here are reproduced slightly edited notes of my lectures on the classification of discrete groups generated by complex reflections of Hermitian affine spaces delivered in October of 1980 at the University of Utrecht.
Vladimir L. Popov
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On Coxeter Diagrams of complex reflection groups [PDF]
Transactions of the American Mathematical Society, 2008 We study Coxeter diagrams of some unitary reflection groups. Using solely the combinatorics of diagrams, we give a new proof of the classification of root lattices defined over E
Tathagata Basak
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Spectra of Cayley Graphs of Complex Reflection Groups [PDF]
Journal of Algebraic Combinatorics, 2015 21 pages, 4 tables; revisions based on referee reports; corrected argument in Section 5; tables replaced by Example 6.8 and code posted in online ...
Briana Foster-Greenwood, Cathy Kriloff
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Complex reflection groups as differential Galois groups [PDF]
ACM Communications in Computer AlgebraComplex reflection groups comprise a generalization of Weyl groups of semisimple Lie algebras, and even more generally of finite Coxeter groups. They have been heavily studied since their introduction and complete classification in the 1950s by Shephard and Todd, due to their many applications to combinatorics, representation theory, knot theory, and ...
Carlos E. Arreche +3 more
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Centralisers, complex reflection groups and actions in the Weyl group E_6 [PDF]
Journal of Homotopy and Related Structures, 2023 AbstractThe compact, connected Lie group $$E_6$$ E 6 admits two forms: simply connected and adjoint type. As we previously established, the Baum–Connes isomorphism relates the two Langlands dual forms, giving a duality between the equivariant K-theory of the ...
Plymen, Roger +2 more
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The Tutte Polynomial of Complex Reflection Groups [PDF]
Contributions to Discrete Mathematics, 2019 The story ”Tutte Polynomial of Reflection Group” begins in 2007 when Ardila computed the Tutte polynomials of the hyperplane arrangements associated to the symmetric groups Sym(n), and to the imprimitive groups $G(2,1,n)$ and $G(2,2,n)$. One year later, De Concini and Procesi computed the Tutte polynomials associated to the primitive groups $G28,G35,G36,
Hery Randriamaro
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Complex Reflection Subgroups of Real Reflection Groups
Journal of Algebra, 2000 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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Cyclic Sieving of Noncrossing Partitions for Complex Reflection Groups [PDF]
Annals of Combinatorics, 2011 23 pages; final version to appear in Annals of ...
David Bessis +2 more
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On partition algebras for complex reflection groups
Journal of Algebra, 2007 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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Gelfand Pairs of Complex Reflection Groups [PDF]
, 2020 18 pages, 0 figures. Some stylistic changes have been made and the introduction now better reflects the article. Definition 3.2 and 3.3 have been fused.
Robin van Haastrecht
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