Local coordinates for $\operatorname{SL}(n,\mathbf{C})$-character varieties of finite-volume hyperbolic 3-manifolds

Pere Menal-Ferrer; Joan Porti

Displaying similar documents to “Local coordinates for $SL (n, C)$ -character varieties of finite-volume hyperbolic 3-manifolds”

The higher transvectants are redundant

Abdelmalek Abdesselam, Jaydeep Chipalkatti (2009)

Annales de l’institut Fourier

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Let $A, B$ denote generic binary forms, and let $𝔲_{r} = {(A, B)}_{r}$ denote their $r$ -th transvectant in the sense of classical invariant theory. In this paper we classify all the quadratic syzygies between the ${𝔲_{r}}$ . As a consequence, we show that each of the higher transvectants ${𝔲_{r} : r \geq 2}$ is redundant in the sense that it can be completely recovered from $𝔲_{0}$ and $𝔲_{1}$ . This result can be geometrically interpreted in terms of the incomplete Segre imbedding. The calculations rely upon the Cauchy exact sequence of $S L_{2}$ -representations,...

The algebraic groups leading to the Roth inequalities

Masami Fujimori (2012)

Journal de Théorie des Nombres de Bordeaux

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We determine the algebraic groups which have a close relation to the inequalities.

Effective equidistribution of S-integral points on symmetric varieties

Yves Benoist, Hee Oh (2012)

Annales de l’institut Fourier

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Let $K$ be a global field of characteristic not 2. Let $Z = H ∖ G$ be a symmetric variety defined over $K$ and $S$ a finite set of places of $K$ . We obtain counting and equidistribution results for the S-integral points of $Z$ . Our results are effective when $K$ is a number field.

Hopf mappings for complex quaternions.

Wallner, Johannes (2003)

Beiträge zur Algebra und Geometrie

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Generalized Schwarzian derivatives for generalized fractional linear transformations

John Ryan (1992)

Annales Polonici Mathematici

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Generalizations of the classical Schwarzian derivative of complex analysis have been proposed by Osgood and Stowe [12, 13], Carne [5], and Ahlfors [3]. We present another generalization of the Schwarzian derivative over vector spaces.

Complete filtered Lie algebras over a vector space of dimension two.

Judson, Thomas W. (2002)

Journal of Lie Theory

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Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Cédric Bonnafé, Christophe Hohlweg (2006)

Annales de l’institut Fourier

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We construct a subalgebra $Σ^{'} (W_{n})$ of dimension $2 \cdot 3^{n - 1}$ of the group algebra of the Weyl group $W_{n}$ of type $B_{n}$ containing its usual Solomon algebra and the one of $𝔖_{n}$ : $Σ^{'} (W_{n})$ is nothing but the Mantaci-Reutenauer algebra but our point of view leads us to a construction of a surjective morphism of algebras $Σ^{'} (W_{n}) \to Z Irr (W_{n})$ . Jöllenbeck’s construction of irreducible characters of the symmetric group by using the coplactic equivalence classes can then be transposed to $W_{n}$ . In an appendix, P. Baumann and C. Hohlweg present in an...

Displaying similar documents to “Local coordinates for SL ( n , C ) -character varieties of finite-volume hyperbolic 3-manifolds”

The higher transvectants are redundant

The algebraic groups leading to the Roth inequalities

Effective equidistribution of S-integral points on symmetric varieties

Hopf mappings for complex quaternions.

Generalized Schwarzian derivatives for generalized fractional linear transformations

Complete filtered Lie algebras over a vector space of dimension two.

Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Displaying similar documents to “Local coordinates for $SL (n, C)$ -character varieties of finite-volume hyperbolic 3-manifolds”