INIFTA 05425
INSTITUTO DE INVESTIGACIONES FISICO-QUIMICAS TEORICAS Y APLICADAS
Unidad Ejecutora - UE
artículos
Título:
On the algebraic structure of central molecular chirality
Autor/es:
FRANCISCO MARCELO FERNÁNDEZ
Revista:
JOURNAL OF MATHEMATICAL CHEMISTRY
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2016 vol. 54 p. 552 - 558
ISSN:
0259-9791
Resumen:
We show that a group of 24 4×4 permutation matrices that proved suitablefor the study of chirality is a reducible representation of the group Td. Consequently,all the mathematical properties of the former matrices can be easily inferred from thetable of characters of the latter group.We also show that the group of 4×4 permutationmatrices is isomorphic to a group of 3×3 ones that form an irreducible representationof the elements of the group Td. We discuss the one-to-one correspondence betweenthe two sets of matrices. A similar analysis can be carried out with the point group O.
