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Irreducible algebraic sets of matrices with dominant restriction of the characteristic map

Marcin Skrzyński (2003)

Mathematica Bohemica

We collect certain useful lemmas concerning the characteristic map, ${𝒢 L}_{n}$ -invariant sets of matrices, and the relative codimension. We provide a characterization of rank varieties in terms of the characteristic map as well as some necessary and some sufficient conditions for linear subspaces to allow the dominant restriction of the characteristic map.

Irreducible linear group-subgroup pairs with the same invariants.

Solomon, S. (2005)

Journal of Lie Theory

Isocanted alcoved polytopes

María Jesús de la Puente, Pedro Luis Clavería (2020)

Applications of Mathematics

Through tropical normal idempotent matrices, we introduce isocanted alcoved polytopes, computing their $f$ -vectors and checking the validity of the following five conjectures: Bárány, unimodality, $3^{d}$ , flag and cubical lower bound (CLBC). Isocanted alcoved polytopes are centrally symmetric, almost simple cubical polytopes. They are zonotopes. We show that, for each dimension, there is a unique combinatorial type. In dimension $d$ , an isocanted alcoved polytope has $2^{d + 1} - 2$ vertices, its face lattice is the lattice...

Displaying 81 – 88 of 88

Irreducible algebraic sets of matrices with dominant restriction of the characteristic map

Irreducible linear group-subgroup pairs with the same invariants.

Isocanted alcoved polytopes

Isometries of E2.

Isomorphism of generalized triangular matrix-rings and recovery of tiles.

Isotropic subspaces for pairs of Hermitian matrices.

Iteration einer n-Ecksabbildung.

Iterations of concave maps, the Perron-Frobenius theory, and applications to circle packings.

Currently displaying 81 – 88 of 88