Generating sets for coordinate rings of character varieties
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In this paper, the Grobner basis was used for describing character varieties by explicit polynomial equations. Butler et al. showed that the generator sets of the coordinate rings of G-character groups can be described by G character varieties.About:
This article is published in Journal of Pure and Applied Algebra.The article was published on 2013-11-01 and is currently open access. It has received 27 citations till now. The article focuses on the topics: Gröbner basis & Matrix group.read more
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Character varieties of abelian groups
TL;DR: In this article, it was shown that for reductive groups with a maximal torus, the Weyl group is the normalization of the irreducible component of the trivial representation.
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Line operators in theories of class $\mathcal{S}$, quantized moduli space of flat connections, and Toda field theory
TL;DR: In this article, the authors show that the AGT correspondence to higher-rank class of supersymmetric gauge theories coincides with the skein algebra studied in the context of Chern-Simons theory.
Journal ArticleDOI
E-polynomial of the SL(3,C)-character variety of free groups.
Sean Lawton,Vicente Muñoz +1 more
TL;DR: In this article, the Euler characteristic of representations of rank r free groups in SL(3,C) is computed using fibrations, and a new proof of results of Cavazos and Lawton is given.
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Line operators in theories of class $\mathcal{S}$, quantized moduli space of flat connections, and Toda field theory
TL;DR: In this article, it was shown that the AGT correspondence can be seen as evidence for the generalization of AGT to higher-rank class $\mathcal{S}$ theories.
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Geometry of the SL(3,ℂ)-character variety of torus knots.
Vicente Muñoz,Joan Porti +1 more
TL;DR: In this article, a character variety X(G) of characters of representations of G into SL(3,ℂ), GL(3 and PGL(3), PGL
References
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Book
Linear algebraic groups
TL;DR: Conventions and notation background material from algebraic geometry general notions associated with algebraic groups homogeneous spaces solvable groups Borel subgroups reductive groups rationality questions are discussed in this paper.
Book
Representation Theory: A First Course
TL;DR: This volume represents a series of lectures which aims to introduce the beginner to the finite dimensional representations of Lie groups and Lie algebras.
Book
Linear Algebraic Groups
TL;DR: A linear algebraic group over an algebraically closed field k is a subgroup of a group GL n (k) of invertible n × n-matrices with entries in k, whose elements are precisely the solutions of a set of polynomial equations in the matrix coordinates as mentioned in this paper.
Journal ArticleDOI
Regular elements of semi-simple algebraic groups
TL;DR: In this paper, the authors present a legal opinion on the use of commercial or impression systématiques in the context of the IHES agreement with the conditions générales d'utilisation.