Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1) (CROSBI ID 235956)
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Prlić, Ana
engleski
Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1)
In a joint paper P. Pandžić and D. Renard proved that holomorphic and antiholomorphic discrete series representations can be constructed via algebraic Dirac induction. The group SU (2, 1) , except for those two types, also has a third type of discrete series representations that are neither holomorphic nor antiholomorphic. In this paper we show that nonholomorphic discrete series representations of the group SU (2, 1) can also be constructed using algebraic Dirac induction.
Lie group ; Lie algebra ; discrete series ; highest weight ; minimal K-type ; Dirac operator ; Dirac cohomology ; Dirac induction
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