19 citations · 30 across the 10 of their papers we have counts for
10 papers
(Equivariant) Cohomology of Homogeneous Spaces Associated with Composition Algebras
Mahir Bilen Can, Ana Casimiro, Ferruh Özbudak
We study homogeneous spaces arising from embeddings of associative composition algebras of dimensions 2 and 4, with particular emphasis on the Hamiltonian quaternion algebra. For i…
Cayley-Menger extension of metrics on affine spaces
Ana Casimiro, Cesar Rodrigo
Associated to any affine space A endowed with a metric structure of arbitrary signature we consider the space of affine functionals operating on the space of quadratic functions of…
Implicitization Of A Plane Curve Germ
Joao Cabral, Ana Casimiro
Let be the germ of an irreducible plane curve. We present an algorithm to obtain polynomials, whose valuations coincide with the semigroup generators of . These…
Idempotent Varieties of Incidence Monoids and Bipartite Posets
Mahir Bilen Can, Ana Casimiro, Antonio Malheiro
The algebraic variety defined by the idempotents of an incidence monoid is investigated. Its irreducible components are determined. The intersection with an antichain submonoid is…
Discrete Formulation for the dynamics of rods deforming in space
Ana C. Casimiro, Cesar Rodrigo
We describe the main ingredients needed to create, from the smooth lagrangian density, a variational principle for discrete motions of a discrete rod, with corresponding conserved…
Principal Schottky Bundles over Riemann surfaces
A. C. Casimiro, S. Ferreira, C. Florentino
We introduce and study (strict) Schottky G-bundles over a compact Riemann surface X, where G is a connected reductive algebraic group. Strict Schottky representations are shown to…
Symmetry-preserving discretization of variational field theories
A. C. Casimiro, C. Rodrigo
The present paper develops a variational theory of discrete fields defined on abstract cellular complexes. The discrete formulation is derived solely from a variational principle a…
Homotopy type of free group character varieties
Ana Casimiro, Carlos Florentino, Sean Lawton +1
Let G be a real reductive algebraic group with maximal compact subgroup K, and let F be a rank r free group. Here, we summarize the construction of a natural strong deformation ret…
Topology of Moduli Spaces of Free Group Representations in Real Reductive Groups
Ana Casimiro, Carlos Florentino, Sean Lawton +1
Let be a real reductive algebraic group with maximal compact subgroup , and let be a rank free group. We show that the space of closed orbits in $\mathrm{Hom}(F_r,…
Stability of Affine G-varieties and Irreducibility in Reductive Groups
Ana Casimiro, Carlos Florentino
Let be a reductive affine algebraic group, and let be an affine algebraic -variety. We establish a (poly)stability criterion for points in terms of intrinsicall…