Symmetric polynomials, generalized Jacobi-Trudi identities andτ-functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5051546
Abstract: An element [Φ]∈GrnH+,F of the Grassmannian of n-dimensional subspaces of the Hardy space H+=H2, extended over the field F = C(x1, …, xn), may be associated to any polynomial basis ϕ = {ϕ0, ϕ1, ⋯… read more here.
Keywords: jacobi trudi; generalized jacobi; polynomials generalized; trudi identities ... See more keywords
Discriminants of polynomial algebras over the symmetric polynomials
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Algebra"
DOI: 10.1080/00927872.2020.1734932
Abstract: Abstract Let K be a commutative algebra over a field and the polynomial algebra over K. It is proved that the discriminant of A over the symmetric polynomials is the Vandermonde determinant on to the… read more here.
Keywords: symmetric polynomials; polynomial algebras; discriminants polynomial; algebras symmetric ... See more keywords