HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp4(C)

Björn Ivarsson*, Frank Kutzschebauch, Erik Løw

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

We prove that any null-homotopic holomorphic map from a Stein space X to the symplectic group Sp4(C) can be written as a finite product of elementary symplectic matrices with holomorphic entries.

Original languageEnglish
Pages (from-to)233-277
Number of pages45
JournalAnalysis and PDE
Volume16
Issue number1
DOIs
Publication statusPublished - 2023
MoE publication typeA1 Journal article-refereed

Keywords

  • algebraic K-theory
  • elementary symplectic matrices
  • Oka principle
  • rings of holomorphic functions
  • Stein spaces
  • symplectic matrices
  • unipotent factorization

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