Add to ORKGWe define a natural partial order on the orthogonal group and completely describe the intervals in this partial order. The main technical ingredient is that an orthogonal transformation induces a unique orthogonal transformation on each subspace of the orthogonal complement of its fixed subspace
AbstractIn this note we revisit the sharp partial order introduced by Mitra [S.K. Mitra, On group in...
AbstractLet us fix a field F, a finite-dimensional F-vector space V, and a nondegenerate symmetric b...
AbstractTransitive sets of subspaces of a vector space over a finite field under extended symplectic...
We provide an order-theoretic characterization of algebraic orthogonality among positive elements of...
AbstractBy introducing an inner product on the linear space of real valued functions on a finite par...
AbstractAny relation between simple isometries is a consequence of relations of lengths ⩽4. This ext...
AbstractWe will assume throughout thatFis a field of characteristic charF≠2 and thatVis a non-degene...
AbstractLet V be a finite-dimensional vector space over a commutative field of characteristic distin...
AbstractThe intersections of the nonnegative orthant in En with pairs of complementary orthogonal su...
International audienceTwo linear orderings of a same set are perpendicular if every self-mapping of ...
AbstractLet E be a finite dimensional vector space over the Galois field GF(2). Let lin(E) denote th...
AbstractA problem on maximal clones in universal algebra leads to the natural concept of orthogonal ...
AbstractWe give a new construction showing how new orthomodular lattices can be built out of old one...
AbstractA pair of sign pattern row vectors (or column vectors) allows orthogonality if the two vecto...
AbstractThe paper deals with those orthogonal matrices which can be expressed as linear combinations...
AbstractIn this note we revisit the sharp partial order introduced by Mitra [S.K. Mitra, On group in...
AbstractLet us fix a field F, a finite-dimensional F-vector space V, and a nondegenerate symmetric b...
AbstractTransitive sets of subspaces of a vector space over a finite field under extended symplectic...
We provide an order-theoretic characterization of algebraic orthogonality among positive elements of...
AbstractBy introducing an inner product on the linear space of real valued functions on a finite par...
AbstractAny relation between simple isometries is a consequence of relations of lengths ⩽4. This ext...
AbstractWe will assume throughout thatFis a field of characteristic charF≠2 and thatVis a non-degene...
AbstractLet V be a finite-dimensional vector space over a commutative field of characteristic distin...
AbstractThe intersections of the nonnegative orthant in En with pairs of complementary orthogonal su...
International audienceTwo linear orderings of a same set are perpendicular if every self-mapping of ...
AbstractLet E be a finite dimensional vector space over the Galois field GF(2). Let lin(E) denote th...
AbstractA problem on maximal clones in universal algebra leads to the natural concept of orthogonal ...
AbstractWe give a new construction showing how new orthomodular lattices can be built out of old one...
AbstractA pair of sign pattern row vectors (or column vectors) allows orthogonality if the two vecto...
AbstractThe paper deals with those orthogonal matrices which can be expressed as linear combinations...
AbstractIn this note we revisit the sharp partial order introduced by Mitra [S.K. Mitra, On group in...
AbstractLet us fix a field F, a finite-dimensional F-vector space V, and a nondegenerate symmetric b...
AbstractTransitive sets of subspaces of a vector space over a finite field under extended symplectic...