9 citations · 27 across the 19 of their papers we have counts for
23 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…
Action of free fermions on Symmetric Functions
Letterio Gatto, Malihe Yousofzadeh
The Clifford algebra of the endomorphisms of the exterior algebra of a countably dimensional vector space induces natural {\em bosoni}c shadows, i.e. families of linear maps betwee…
Lie pairs
Letterio Gatto, Louis Rowen
Extending the theory of systems, we introduce a theory of Lie semialgebra ``pairs'' which parallels the classical theory of Lie algebras, but with a ``null set'' replacing . A s…
Clifford semialgebras
Adam Chapman, Letterio Gatto, Louis Rowen
We introduce a theory of Clifford semialgebra systems, with application to representation theory via Hasse-Schmidt derivations on exterior semialgebras. Our main result, after the…
Schur Polynomials and Plücker degree of Schubert Varieties
Letterio Gatto
The polynomial ring in infinitely many indeterminates , with rational coefficients, has a vector space basis of Schur polynomials, parametrized by partitions.…
Bosonic and Fermionic Representations of Endomorphisms of Exterior Algebras
Ommolbanin Behzad, Letterio Gatto
We describe the fermionic and bosonic Fock representation of the Lie super-algebra of endomorphisms of the exterior algebra of the -vector space of infinite countable…