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

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Title ( eng )
ON THE DIMENSIONS OF VECTOR SPACES CONCERNING HOLOMORPHIC VECTOR BUNDLES OVER ELLIPTIC ORBITS, IV
Creator
BOUMUKI NOBUTAKA
Source Title
島根大学総合理工学部紀要.シリーズB
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics
Volume 59
Start Page 1
End Page 30
Journal Identifire
ISSN 1342-7121
Descriptions
Abstract
In this paper, we study the complex vector space of holomorphic cross-sections of a homogeneous holomorphic vector bundle over an elliptic adjoint orbit, associated with an irreducible representation. The main purpose is to give a necessary and sufficient condition for the vector space to be infinitedimensional.
Language
eng
Resource Type departmental bulletin paper
Publisher
総合理工学部
The Interdisciplinary Graduate School of Science and Engineering
島根大学総合理工学部(46-55号の出版者名称は「総合理工学研究科」)
Date of Issued 2026
Publish Type Version of Record
Access Rights open access
Relation
ソウゴウ リコウ ガクブ