| 21. | Therefore, the circle group is canonically isomorphic to U ( 1 ), the first unitary group.
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| 22. | This important model describes collective nuclear states with the help of the unitary group U ( 6 ).
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| 23. | The topological description is complicated by the fact that the unitary group does not act transitively on density operators.
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| 24. | The Schur polynomials occur in the representation theory of the symmetric groups, general linear groups, and unitary groups.
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| 25. | The only extra simple groups that appear are the unitary groups U 3 ( " q " ).
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| 26. | For general non-abelian locally compact groups, harmonic analysis is closely related to the theory of unitary group representations.
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| 27. | A unitary code is a finite subset of the unitary group in which a few inner product values occur between elements.
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| 28. | This omitted certain known groups ( the projective unitary groups ), which were obtained by " twisting " the Chevalley construction.
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| 29. | The stabilizer of 3 points is the projective special unitary group PSU ( 3, 2 2 ), which is solvable.
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| 30. | Cartan's theorem states that Im ( & rho; ) must itself be a Lie subgroup in the unitary group.
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