9 citations · 13 across the 5 of their papers we have counts for
6 papers
On Two Algebraic Realizations of Schubert Calculus
André Contiero, Letterio Gatto, Parham Salehyan
Schubert calculus on complex Grassmannians can be played by means of differential operators acting on Schur polynomials or Vertex Operators acting on exterior algebras. In this pap…
On the Bourbaki Degree of Plane Projective Curves
Roberto Alvarenga, Murillo Lozano, Parham Salehyan
Let be a reduced plane projective curve defined over an algebraically closed field . The Bourbaki degree of , denoted by , measures its freeness and was…
Schubert Derivations on the Infinite Wedge Power
Letterio Gatto, Parham Salehyan
The {\em Schubert derivation} is a distinguished Hasse-Schmidt derivation on the exterior algebra of a free abelian group, encoding the formalism of Schubert calculus for all Grass…
The Cohomology of the Grassmannian is a -module
Letterio Gatto, Parham Salehyan
The integral singular cohomology ring of the Grassmann variety parametrizing -dimensional subspaces in the -dimensional complex vector space is naturally an irreducible repre…
On Plücker Equations Characterizing Grassmann Cones
Letterio Gatto, Parham Salehyan
Polynomial solutions to the KP hierarchy are known to be parametrized by a cone over an infinite-dimensional Grassmann variety. Using the notion of Schubert derivation on a Grassma…
Vertex Operators Arising from Linear ODEs
Letterio Gatto, Parham Salehyan
The Heisenberg Oscillator Algebra admits irreducible representations both on the ring of polynomials in infinitely many indeterminates (the {\em bosonic representation}) and on…