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