Giovedì 21 Novembre 2024 alle ore 14:00, nel quadro del ciclo di seminari Al@Bicocca, Daniele D'Angeli (Università Niccolò Cusano) parlerà di
Titolo: Spectral properties of the Pauli groups
Abstract: The Pauli groups Pn are generalizations of the famous Pauli group P1 involved in quantum mechanics and the formulation of the celebrated Pauli Exclusion Principle. In this talk, I will show how to obtain these groups as iterated central products and this brings out a natural generating system SPn for such groups which differs from the standard one. Using this approach, we are able to recursively construct the adjacency matrix of Cay(Pn, SPn) for each n ≥ 1, and to explicitly describe its spectrum and the associated eigenvectors. Then, some remarkable properties of this spectrum and some interesting consequences regarding representation theory are discussed.
Informazioni per partecipare
Il seminario si terrà in Aula 3014 (3° Piano) - Edificio U5, Università degli Studi di Milano-Bicocca e sarà disponibile anche online al seguente link Webex