RT Journal Article T1 Trace Operators for the State Labelling Problem in the Exceptional Lie Algebra F4 A1 Campoamor Stursberg, Otto-Rudwig AB The Casimir operators of the exceptional Lie algebra F4 are constructed using the method of trace operators. Taking into account a decomposition of matrices related to the embedding F4 _ so(9), subgroup scalars for the corresponding state labelling problem are determined as traces of powers of the components, enabling us to propose an orthonormal basis of states for each generic irreducible representation (IRREP) of F4. The basis of eigenstates for the IRREP [1000] of F4 is explicitly given. PB Jagellonian University SN 0587-4254 YR 2011 FD 2011 LK https://hdl.handle.net/20.500.14352/43752 UL https://hdl.handle.net/20.500.14352/43752 LA eng DS Docta Complutense RD 5 abr 2025