TY - JOUR AU - Friedman, Yaakov AU - Peralta Pereira, Antonio Miguel PY - 2022 UR - http://hdl.handle.net/10481/72662 AB - There are six different mathematical formulations of the symmetry group in quantum mechanics, among them the set of pure states P—i.e., the set of one-dimensional projections on a complex Hilbert space H– and the orthomodular lattice L of closed... LA - eng PB - Springer Nature KW - Wigner theorem KW - Uhlhorn theorem KW - Partial order set of tripotents KW - Spin factor KW - Cartan factors KW - Atomic JBW∗-triple KW - Triple isomorphisms TI - Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors DO - 10.1007/s13324-021-00644-8 ER -