The Burau representation is not faithful for .
Bigelow, Stephen (1999)
Geometry & Topology
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Displaying similar documents to “Faithful linear representations of the braid groups”
The Burau representation is not faithful for .
On the kauffman bracket skein algebra of parallelized surfaces
Pierre Sallenave (2000)
Annales scientifiques de l'École Normale Supérieure
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Deformations of reducible representations of 3-manifold groups into .
Heusener, Michael, Porti, Joan (2005)
Algebraic & Geometric Topology
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Quantum faithfully detects mapping class groups modulo center.
Freedman, Michael H., Walker, Kevin, Wang, Zhenghan (2002)
Geometry & Topology
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Monodromy representations of braid groups and Yang-Baxter equations
Toshitake Kohno (1987)
Annales de l'institut Fourier
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Motivated by the two dimensional conformal field theory with gauge symmetry, we shall study the monodromy of the integrable connections associated with the simple Lie algebras. This gives a series of linear representations of the braid group whose explicit form is described by solutions of the quantum Yang-Baxter equation.
On some Finite-Dimensional Representations of Artin Braid Group Върху някои крайномерни представяния на групата на Артин на плитките
Iliev, Valentin (2011)
Union of Bulgarian Mathematicians
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Валентин В. Илиев - Авторът изучава някои хомоморфни образи G на групата на Артин на плитките върху n нишки в крайни симетрични групи. Получените пермутационни групи G са разширения на симетричната група върху n букви чрез подходяща абелева група. Разширенията G зависят от един целочислен параметър q ≥ 1 и се разцепват тогава и само тогава, когато 4 не дели q. В случая на нечетно q са намерени всички крайномерни неприводими представяния на G, а те от своя страна генерират безкрайна...
Cross ratios, surface groups, and diffeomorphisms of the circle
François Labourie (2007)
Publications Mathématiques de l'IHÉS
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This article relates representations of surface groups to cross ratios. We first identify a connected component of the space of representations into PSL(,ℝ) – known as the -– to a subset of the set of cross ratios on the boundary at infinity of the group. Similarly, we study some representations into associated to cross ratios and exhibit a “character variety” of these representations. We show that this character variety contains all-Hitchin components as well as the set of negatively...
Subhomeotopy groups of the 2-sphere with n holes
David Sprows (1980)
Fundamenta Mathematicae
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The topological rationality of linear representations
Sylvain E. Cappell, Julius L. Shaneson (1982)
Publications Mathématiques de l'IHÉS
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