Metoda Morsove teorije krajšanja v homološki algebri : doktorska disertacija
Lampret, Leon
Disertacija preučuje kvantitativne in kvalitativne lastnosti homoloških tabel standardnih objektov iz algebre in topologije. V prvem poglavju formuliramo in dokažemo Sköldbergov izrek algebraične ...Morsove teorije. V drugem si kot naše prve korake ogledamo nekaj zgledov delovanja AMT na simplicialnih kompleksih. V tretjem apliciramo AMT na bar resolventi za vnanje algebre, s tem pa dobimo novo minimalno resolvento. Z njo izračunamo Hochschildovo homologijo nad obsegi in nad ▫$\mathbb{Z}$▫, ter določimo multiplikativno strukturo kohomologije. V četrtem poglavju za družino rešljivih Liejevih algebr trikotnih matrik glede na poljubno delno urejenost konstruiramo Morsova prirejanja, ki znatno zmanjšajo verižni kompleks. V primeru linearne ureditve (torej trikotne matrike) nam ta prirejanja omogočijo temeljito preučitev tabele Chevalleyeve homologije (prosti del, prve pojavitve praštevil v torziji, nizke in visoke stopnje, homološka dimenzija). V primeru ureditev višine ▫$1$▫ in ▫$2$▫ pa nam omogočijo celo direktne izračune kohomoloških algebr.
Type of material - dissertation
; adult, serious
Publication and manufacture - Ljubljana : [L. Lampret], 2016
GS II 0000727851 glavno skladišče
GS II 727851 glavno skladišče
available - reading room
Shelf entry
Adding material to shelf was successful.
Adding material to shelf failed.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
Permalink
URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year
Impact factor
Edition
Category
Classification
JCR
SNIP
JCR
SNIP
JCR
SNIP
JCR
SNIP
Select the library membership card:
DRS,
in which the journal is indexed
Database name
Field
Year
Links to authors' personal bibliographies
Links to information on researchers in the SICRIS system
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
Naročanje gradiva za izposojo v čitalnice
Naročanje kopij člankov
Urnik dostave gradiva z oznako DS v signaturi