Factorization of Holomorphic Matrices and Kazhdan's Property (T)

Huang, Gaofeng; Kutzschebauch, Frank; Schott, Josua (2024). Factorization of Holomorphic Matrices and Kazhdan's Property (T). Bulletin des sciences mathématiques, 190, p. 103376. Elsevier 10.1016/j.bulsci.2023.103376

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In this article we deduce some algebraic properties for the group Sp_{2n}(O(X)) of holomorphic symplectic matrices on a Stein space X: holomorphic factorization, exponential factorization, and Kazhdan's property (T). In holomorphic factorization we combine a recent result of the third author and K-theory tools to give explicit bounds for the case when X is one-dimensional or two-dimensional. Next we use them to find bounds for exponential factorization. As a further application, we show that the elementary symplectic group Ep_{2n}(O(X)) admits Kazhdan's property (T).

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Huang, Gaofeng, Kutzschebauch, Werner Frank, Schott, Josua

Subjects:

500 Science > 510 Mathematics

ISSN:

1952-4773

Publisher:

Elsevier

Language:

English

Submitter:

Zarif Ibragimov

Date Deposited:

20 Dec 2023 16:39

Last Modified:

14 Jan 2024 02:42

Publisher DOI:

10.1016/j.bulsci.2023.103376

BORIS DOI:

10.48350/190353

URI:

https://boris.unibe.ch/id/eprint/190353

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