Truncation and Duality Results for Hopf Image Algebras

• Autorzy: Banica T.

Identyfikatory

DOI

10.4064/ba62-2-5

• Języki publikacji: EN

Abstrakty

EN

Associated to an Hadamard matrix H∈MN(C) is the spectral measure μ∈P[0,N] of the corresponding Hopf image algebra, A=C(G) with G⊂S+N. We study a certain family of discrete measures μ^r∈P[0,N], coming from the idempotent state theory of G, which converge in Cesàro limit to μ. Our main result is a duality formula of type ∫N0(x/N)^pdμ^r(x)=∫N0(x/N)^rdν^p(x), where μ^r,ν^r are the truncations of the spectral measures μ,ν associated to H,Ht. We also prove, using these truncations μ^r,ν^r, that for any deformed Fourier matrix H=FM⊗QFN we have μ=ν.

Słowa kluczowe

EN

quantum permutation; Hadamard matrix

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: Vol. 62, no 2
• Strony: 161--179
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Banica T.

• Department of Mathematics Cergy-Pontoise University 95000 Cergy-Pontoise, France

Bibliografia

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