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Krammer representations for complex braid groups. (Q1952135)

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Language	Label	Description	Also known as
English	Krammer representations for complex braid groups.	scientific article

Statements

scholarly article

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Krammer representations for complex braid groups. (English)

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Journal of Algebra

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publication date

27 May 2013

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full work available at URL

https://arxiv.org/abs/0711.3096

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zbMATH Keywords

generalized braid groups

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finite complex reflection groups

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linear representations

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Knizhnik-Zamolodchikov systems

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Krammer representation

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MaRDI profile type

MaRDI publication profile

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On the semi-simplicity of the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)

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Fundamental groups of the spaces of regular orbits of the finite unitary reflection groups of dimension 2

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Finite complex reflection arrangements are \(K(\pi,1)\)

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The Burau representation is not faithful for \(n=5\)

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Braid groups are linear

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Formal differential equations

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Algebras of Iterated Path Integrals and Fundamental Groups

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Computation of monodromy of certain W-invariant local systems of types B, C, D

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BMW algebras of simply laced type.

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Linearity of Artin groups of finite type.

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On the linearity of Artin braid groups.

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The center of pure complex braid groups.

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The lower central series of a fiber-type arrangement

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The reduced Birman-Wenzl algebra of Coxeter type B

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On the holonomy Lie algebra and the nilpotent completion of the fundamental group of the complement of hypersurfaces

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The braid group \(B_4\) is linear

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Braid groups are linear

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On the injectivity of the Braid group in the Hecke algebra

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The Lappo-Danilevskii method and trivial intersections of radicals in lower central series terms for certain fundamental groups.

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A note on the normal subgroups of mapping class groups

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On the representation theory of braid groups.

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Algebraic monodromy of dihedral Artin groups.

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On the residual nilpotence of pure Artin groups

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On the generic Krammer representations.

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The \(D_ n\) generalized pure braid group

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The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛

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Observations on group rings

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Matrix Representations of Artin Groups

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Differential Equations Invariant Under Finite Reflection Groups

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Identifiers

zbMATH Open document ID

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10.1016/j.jalgebra.2012.07.046

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1952135

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