Analysis reveals isomorphism between unitary representations and holomorphic maps in compact semisimple Lie groups, suggesting deep connections in geometry.
We will show that the category of the unitary representations of a compact, connected, simply connected, semisimple Lie group is isomorphic to one of full holomorphic maps of a flag manifold to complex Grassmannians with gauge condition for semipositive Hermitian holomorphic homogeneous vector bundles.
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Yasuyuki Nagatomo (2026) studied this question.
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