Holomorphic Factorization of Mappings into \( \operatorname{Sp}_{4}( \mathbb{C}) \)

Holomorphic Factorization of Mappings into \( \operatorname{Sp}_{4}( \mathbb{C}) \)

We prove that any null-homotopic holomorphic map from a Stein space \(X\) to the symplectic group \(\operatorname{Sp}_{4}(\mathbb{C})\) can be written as a finite product of elementary symplectic matrices with holomorphic entries.

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Veröffentlicht in:arXiv.org 2020-05
Hauptverfasser: Ivarsson, Björn, Kutzschebauch, Frank, Løw, Erik
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
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Zusammenfassung:We prove that any null-homotopic holomorphic map from a Stein space \(X\) to the symplectic group \(\operatorname{Sp}_{4}(\mathbb{C})\) can be written as a finite product of elementary symplectic matrices with holomorphic entries.
ISSN:2331-8422
DOI:10.48550/arxiv.2005.07454