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2 unusual facts about Representation theory of finite groups


Molecular orbital

If the molecule has some symmetry, the degenerate atomic orbitals (with the same atomic energy) are grouped in linear combinations (called symmetry-adapted atomic orbitals (SO)), which belong to the representation of the symmetry group, so the wave functions that describe the group are known as symmetry-adapted linear combinations (SALC).

Within a particular representation, the symmetry-adapted atomic orbitals mix more if their atomic energy levels are closer.



see also

Green function

Deligne–Lusztig theory (Green function) in the representation theory of finite groups of Lie type.