Thursday 21 November 2024 at 2 pm, as part of the Al@Bicocca seminar cycle, Daniele D'Angeli (Niccolò Cusano University) will talk about
Title: 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.
Information to attend
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milan-Bicocca and will also be available online at the following Webex link