TY - BOOK AU - Aubrun,Guillaume AU - Skalski,Adam AU - Speicher,Roland AU - Franz,Uwe ED - Winter School on Operator Spaces, Noncommutative Probability and Quantum Groups TI - Quantum symmetries T2 - Lecture notes in mathematics SN - 9783319632056 (alk. paper) U1 - 515.7 23 PY - 2017/// CY - Cham PB - Springer KW - Functional analysis KW - Congresses KW - Convex geometry N1 - Include index and bibliographical references and index; 1 Introduction.- 2 Free Probability and Non-Commutative Symmetries.- 3 Quantum Symmetry Groups and Related Topics.- 4 Quantum Entanglement in High Dimensions.- References.- Index N2 - Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems. A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups, and in quantum physics. ER -