| 1. | Which would be the definition of a discrete series representation.
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| 2. | These algebras have unitary discrete series representations at central charge
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| 3. | Every discrete series representation occurs in this way.
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| 4. | Every complex simple Lie group has a real form with quaternionic discrete series representations.
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| 5. | Schmid's early work concerns the construction of discrete series representations of semi-simple Lie groups.
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| 6. | Found the first examples of holomorphic discrete series representations, and classified them for all semisimple Lie groups.
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| 7. | The groups SU ( 2, " n " ) have both holomorphic and quaternionic discrete series representations.
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| 8. | The existence of these discrete series was conjectured by Daniel Friedan, Zongan Qiu, and Stephen Shenker ( 1984 ).
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| 9. | Harish-Chandra's classification of the discrete series representations of a semisimple connected Lie group is given as follows.
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| 10. | The discrete series consists of'atoms'of the unitary dual ( points carrying a Plancherel measure > 0 ).
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