The Wronskian and its derivatives

Autor: Letterio Gatto

Publikováno v: Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 89, Iss 2, Pp C1C8902001-1 (2011)

This note reports on some joint work with I. Scherbak, aiming to overview a connection between generalized wronskians (of fundamental systems of solutions of linear ordinary differential equations with constant coefficients) and the intersection theo

Externí odkaz: https://doaj.org/article/c11692297d864900b8fa0d1cf2c762d6

Bosonic and Fermionic Representations of Endomorphisms of Exterior Algebras

Autor: 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 ${\mathbb Q}$-vector space of infinite countable dimension, vanishing at all but finitely many basis elements. We achie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19e932dfaf7dec5024d477fbd41f84b8
http://arxiv.org/abs/2009.00479

Grassmann semialgebras and the Cayley-Hamilton theorem

Autor: Letterio Gatto, Louis Rowen

We develop a theory of Grassmann semialgebra triples using Hasse-Schmidt derivations, which formally generalizes results such as the Cayley-Hamilton theorem in linear algebra, thereby providing a unified approach to classical linear algebra and tropi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::652f1eb448fc9c3c88c486407b789ecb
http://hdl.handle.net/11583/2860222

Schubert Derivations on the Infinite Wedge Power

Autor: Parham Salehyan, Letterio Gatto

Publikováno v: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

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 Grassmannians at once. The purpose of this paper is to extend the Schubert

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a202ff5490edbfc4e502f278541caaf

The cohomology of the Grassmannian is a gln-module

Autor: Parham Salehyan, Letterio Gatto

Publikováno v: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

The integral singular cohomology ring of the Grassmann variety parametrizing $r$-dimensional subspaces in the $n$-dimensional complex vector space is naturally an irreducible representation of the Lie algebra of all the $n\times n$ matrices with inte

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2158ec9512ebf35c6edf100e50657720