Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 57
2024 発行

ON THE DIMENSIONS OF VECTOR SPACES CONCERNING HOLOMORPHIC VECTOR BUNDLES OVER ELLIPTIC ORBITS, II

BOUMUKI, NOBUTAKA
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This paper deals with the complex vector space of holomorphic cross-sections of a homogeneous holomorphic vector bundle over an elliptic adjoint orbit of a connected real simple Lie group of Hermitian type, and provides a necessary and sufficient condition for the vector space to be finite-dimensional.
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