Mid Sweden University

miun.sePublications
System disruptions
There are recurring service disruptions on some of the search portals due to high traffic. We are working to resolve the issue, you may temporarily encounter an error message.
EnglishSvenskaNorsk
Change search
Link to record
Permanent link

Direct link
Ivarsson, Björn
Publications (3 of 3) Show all publications
Ivarsson, B. & Kutzschebauch, F. (2014). On Kazhdan's Property (T) for the special linear group of holomorphic functions. Bulletin of the Belgian Mathematical Society Simon Stevin, 21(1), 185-191
Open this publication in new window or tab >>On Kazhdan's Property (T) for the special linear group of holomorphic functions
2014 (English)In: Bulletin of the Belgian Mathematical Society Simon Stevin, ISSN 1370-1444, E-ISSN 2034-1970, Vol. 21, no 1, p. 185-191Article in journal (Refereed) Published
Abstract [en]

We investigate when the group SLn (O(X)) of holomorphic maps from a Stein space X to SLn (C) has Kazhdan's property (T) for n >= 3. This provides a new class of examples of non-locally compact groups having Kazhdan's property (T). In particular we prove that the holomorphic loop group of SLn (C) has Kazhdan's property (T) for n >= 3. Our result relies on the method of Shalom to prove Kazhdan's property (T) and the solution to Gromov's Vaserstein problem by the authors.
Keywords
Kazhdan property, Stein manifold, special linear group
National Category
Mathematics
Identifiers
urn:nbn:se:miun:diva-22003 (URN)000333656600014 ()
Available from: 2014-06-04 Created: 2014-05-28 Last updated: 2025-09-25Bibliographically approved
Ivarsson, B. & Kutzschebauch, F. (2012). Holomorphic factorization of mappings into SL_n(C). Annals of Mathematics, 175(1), 45-69
Open this publication in new window or tab >>Holomorphic factorization of mappings into SL_n(C)
2012 (English)In: Annals of Mathematics, ISSN 0003-486X, E-ISSN 1939-8980, Vol. 175, no 1, p. 45-69Article in journal (Refereed) Published
National Category
Mathematical Analysis
Identifiers
urn:nbn:se:miun:diva-17969 (URN)10.4007/annals.2012.175.1.3 (DOI)
Available from: 2012-12-19 Created: 2012-12-19 Last updated: 2025-09-25Bibliographically approved
Ivarsson, B. & Kutzschebauch, F. (2012). On the number of factors in the unipotent factorization of holomorphic mappings into SL2(C). Proceedings of the American Mathematical Society, 140(3), 823-838
Open this publication in new window or tab >>On the number of factors in the unipotent factorization of holomorphic mappings into SL2(C)
2012 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 140, no 3, p. 823-838Article in journal (Refereed) Published
Abstract [en]

We estimate the number of unipotent elements needed to factor a null-homotopic holomorphic map from a finite dimensional reduced Stein space X into SL2 (C).
National Category
Mathematics
Identifiers
urn:nbn:se:miun:diva-15298 (URN)10.1090/S0002-9939-2011-11025-6 (DOI)000301763300009 ()2-s2.0-82255164051 (Scopus ID)
Available from: 2011-12-15 Created: 2011-12-15 Last updated: 2025-09-25Bibliographically approved
Organisations

Search in DiVA

Show all publications
v. 2.49.0
|
WCAG
|
Mid Sweden University Library
|
Mid Sweden University - Research
|
DiVA Login
|
Contact