| 1. | This reducible representation is decomposed into the sum of irreducible representations.
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| 2. | These irreducible representations correspond to the symmetry of the orbitals involved.
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| 3. | However, an irreducible representation of may not be irreducible for.
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| 4. | Without space parity inversion, it is not an irreducible representation.
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| 5. | The irreducible representations of all compact connected Lie groups have been classified.
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| 6. | The number of conjugacy classes and irreducible representations is 6.
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| 7. | Let now \ rho be an irreducible representation of H _ j.
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| 8. | It resembles the Casimir invariants for Lie algebra irreducible representations.
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| 9. | All Abelian groups have only one-dimensional irreducible representations.
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| 10. | One says that all irreducible representations of parity are one-dimensional.
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