-graded polynomial identities for
A classification of rank 6 quadratic spaces via pfaffians.
A generalization of the exterior product of differential forms combining Hom-valued forms
This article deals with vector valued differential forms on -manifolds. As a generalization of the exterior product, we introduce an operator that combines -valued forms with -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.
A remark on Koszul complexes.
An angle metric through the notion of Grassmann representative.
Calcul différentiel extérieur de dégré arbitraire.
Canonical representation of tangent vectors of Grassmannians.
Classification of compact homogeneous spaces with invariant symplectic structures.
Cohomologie de la grassmannienne à valeurs dans les puissances extérieures et symétriques du fibré universel.
Die neuere Algebra und die Ausdehnungslehre
Entanglement of Grassmannian coherent states for multi-partite -level systems.
Exterior Algebra and Projections of Polytopes.
Formes alternées et puissances divisées
General construction of Banach-Grassmann algebras
We show that a free graded commutative Banach algebra over a (purely odd) Banach space is a Banach-Grassmann algebra in the sense of Jadczyk and Pilch if and only if is infinite-dimensional. Thus, a large amount of new examples of separable Banach-Grassmann algebras arise in addition to the only one example previously known due to A. Rogers.
Higher-dimensional central projection into 2-plane with visibility and applications
Irreducibility of compound matrices
Lifting smooth homotopies of orbit spaces
Matrices over centrally -graded rings.
Newton binomial formulas in Schubert calculus.
On a criterion of D-stability for P-matrices
In this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.