Matching Tag: delta-operators
For 1 ≤ k ≤ n 1\leq k\leq n 1 ≤ k ≤ n , let V n , k \mathbb{V}_{n,k} V n , k be the smallest subspace of Ω n [ y 1 , … , y n ] \Omega_n[y_1,\dots,y_n] Ω n [ y 1 , … , y n ] containing the superspace Vandermonde δ n , k \delta_{n,k} δ n , k , closed under…
Let Ω n [ y 1 , … , y n ] = C [ x 1 , … , x n ] ⊗ C [ y 1 , … , y n ] ⊗ ⋀ { θ 1 , … , θ n } \Omega_n[y_1,\dots,y_n]=\mathbb{C}[x_1,\dots,x_n]\otimes\mathbb{C}[y_1,\dots,y_n]\otimes\bigwedge\{\theta_1,\dots,\theta_n\} Ω n [ y 1 , … , y n ] = C [ x 1 , … , x n ] ⊗ C [ y 1 , … , y n ] ⊗ ⋀ { θ 1 , … , θ n } , with S n S_n S n acting triply diagonally, and let … b…
Let F F F be a symmetric function with a positive monomial-basis expansion, let G G G be a symmetric function with a positive Schur-basis expansion, and let Δ F \Delta_F Δ F and Ξ \Xi Ξ denote…