Publication:
Complex structures on stratified Lie algebras
Complex structures on stratified Lie algebras
dc.contributor.advisor | Ottazzi, Alessandro | |
dc.contributor.advisor | Cowling, Michael | |
dc.contributor.author | Zhang, Jun Ze | |
dc.date.accessioned | 2022-02-04T04:52:37Z | |
dc.date.available | 2022-02-04T04:52:37Z | |
dc.date.issued | 2022 | |
dc.description.abstract | This thesis investigates some properties of complex structures on Lie algebras. In particular, we focus on nilpotent complex structures that are characterized by a suitable J-invariant ascending or descending central series dj and dj respectively. In this thesis, we introduce a new descending series pj and use it to give proof of a new characterization of nilpotent complex structures. We examine also whether nilpotent complex structures on stratified Lie algebras preserve the strata. We find that there exists a J-invariant stratification on a step 2 nilpotent Lie algebra with a complex structure. | |
dc.identifier.uri | http://hdl.handle.net/1959.4/100060 | |
dc.language | English | |
dc.language.iso | en | |
dc.publisher | UNSW, Sydney | |
dc.rights | CC BY 4.0 | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject.other | Stratified Lie algebras | |
dc.subject.other | Complex nilpotent lie algebras | |
dc.subject.other | Nijenhuis tensors | |
dc.subject.other | Complex structures | |
dc.title | Complex structures on stratified Lie algebras | |
dc.type | Thesis | |
dcterms.accessRights | open access | |
dcterms.rightsHolder | Zhang, Jun Ze | |
dspace.entity.type | Publication | |
unsw.accessRights.uri | https://purl.org/coar/access_right/c_abf2 | |
unsw.identifier.doi | https://doi.org/10.26190/unsworks/1969 | |
unsw.relation.faculty | Science | |
unsw.relation.school | School of Mathematics & Statistics | |
unsw.relation.school | School of Mathematics & Statistics | |
unsw.relation.school | School of Mathematics & Statistics | |
unsw.subject.fieldofresearchcode | 490402 Algebraic and differential geometry | |
unsw.subject.fieldofresearchcode | 490406 Lie groups, harmonic and Fourier analysis | |
unsw.thesis.degreetype | Masters Thesis |
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