| 21. | The final symmetry-labeled atomic orbital is now known as an irreducible representation.
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| 22. | The permutation representation on 11 points gives a complex irreducible representation in 10 dimensions.
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| 23. | However, the irreducible representations of the symmetric group are not known in arbitrary characteristic.
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| 24. | The th roots of unity form an irreducible representation of any cyclic group of order.
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| 25. | The structure analogous to an irreducible representation in the resulting theory is a simple module.
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| 26. | The irreducible representations of Sp ( " N " ) are labelled by signatures
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| 27. | Over all irreducible representations V _ i.
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| 28. | When then can be extended to an irreducible representation of, the orthocronous Lorentz group.
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| 29. | The subquotients give two irreducible representations of dimension 11 over the field with 2 elements.
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| 30. | In particular, the character of each irreducible representation is given by the Weyl character formula.
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