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Holomorphic sections of pre-quantum line bundles on g/(p, p)
Journal article   Peer reviewed

Holomorphic sections of pre-quantum line bundles on g/(p, p)

Meng-Kiat Chuah
Proceedings of the American Mathematical Society, Vol.128(9), pp.2795-2799
2000

Abstract

Kähler Lie group Line bundle
Let G = KAN be the Iwasawa decomposition of a complex connected semi-simple Lie group G. Let P ⊂ G be a parabolic subgroup containing AN, and let (P, P) be its commutator subgroup. In this paper, we characterize the K-invariant Kähler structures on G/(P, P), and study the holomorphic sections of their corresponding pre-quantum line bundles. © 2000 American Mathematical Society.

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