The Spectra on Lie Groups and Its Application to twisted L2-Invariants

Han, Zhicheng

dc.contributor.advisor	Schick, Thomas Prof. Dr.
dc.contributor.author	Han, Zhicheng
dc.date.accessioned	2024-02-29T18:49:11Z
dc.date.available	2024-03-07T00:50:10Z
dc.date.issued	2024-02-29
dc.identifier.uri	http://resolver.sub.uni-goettingen.de/purl?ediss-11858/15148
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-10360
dc.format.extent	119	de
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject.ddc	510	de
dc.title	The Spectra on Lie Groups and Its Application to twisted L2-Invariants	de
dc.type	doctoralThesis	de
dc.contributor.referee	Schick, Thomas Prof. Dr.
dc.date.examination	2023-09-14	de
dc.description.abstracteng	We computed spectra of various $G$-invariant differential operators on the universal cover of 2x2 unimodular groups. This was achieved by applying tools from harmonic analysis/representation theory to corresponding groups. In this thesis we have discussed in detail how to apply harmonic analysis to study such problems, this include in particular a detailed analysis of the operator in question, a estimate of the growth of its kernel, and later the computation of the spectra for several operators. Towards the second half we applied the data to compute the Novikov-Shubin invariants on respective group, which is a topological invariant defined to measure the heat decay at large time.	de
dc.contributor.coReferee	Meyer, Ralf Prof. Dr.
dc.subject.eng	L2-invariants	de
dc.subject.eng	Novikov-Shubin invariants	de
dc.subject.eng	Lie groups	de
dc.subject.eng	Harmonic analysis	de
dc.identifier.urn	urn:nbn:de:gbv:7-ediss-15148-4
dc.affiliation.institute	Fakultät für Mathematik und Informatik	de
dc.subject.gokfull	Mathematics (PPN61756535X)	de
dc.description.embargoed	2024-03-07	de
dc.identifier.ppn	1882283228
dc.notes.confirmationsent	Confirmation sent 2024-02-29T19:45:01	de

Files in this item

Name:main.pdf

Size:1.503Mb

Format:PDF

View/Open

Name:: main.pdf
Size:: 1.503Mb
Format:: PDF

View/Open

This item appears in the following Collection(s)

Fakultät für Mathematik und Informatik (inkl. GAUSS) [533]

Show simple item record