The 4 Subspace Problem

The 4 Subspace Problem

We present a complete solution to the 4 subspace problem in the generality of an algebraically closed eld. We do this by means of Auslander-Reiten theory and give the Auslander-Reiten quiver of the extended $D_4$ Dynkin diagram. We also give a geometric interpretation when two congurations of four l...

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Bibliographic Details
Main Author: Forbregd, Tore A.
Format: Others
Language:English
Published: Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag 2008
Subjects:
ntnudaim
MMA matematikk
Algebra
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9803
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spelling ndltd-UPSALLA1-oai-DiVA.org-ntnu-98032013-01-08T13:26:38ZThe 4 Subspace ProblemengForbregd, Tore A.Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fagInstitutt for matematiske fag2008ntnudaimMMA matematikkAlgebraWe present a complete solution to the 4 subspace problem in the generality of an algebraically closed eld. We do this by means of Auslander-Reiten theory and give the Auslander-Reiten quiver of the extended $D_4$ Dynkin diagram. We also give a geometric interpretation when two congurations of four lines through the origin in the plane are equivalent. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9803Local ntnudaim:4316application/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
format Others
sources NDLTD
topic ntnudaim
MMA matematikk
Algebra
spellingShingle ntnudaim
MMA matematikk
Algebra
Forbregd, Tore A.
The 4 Subspace Problem
description We present a complete solution to the 4 subspace problem in the generality of an algebraically closed eld. We do this by means of Auslander-Reiten theory and give the Auslander-Reiten quiver of the extended $D_4$ Dynkin diagram. We also give a geometric interpretation when two congurations of four lines through the origin in the plane are equivalent.
author Forbregd, Tore A.
author_facet Forbregd, Tore A.
author_sort Forbregd, Tore A.
title The 4 Subspace Problem
title_short The 4 Subspace Problem
title_full The 4 Subspace Problem
title_fullStr The 4 Subspace Problem
title_full_unstemmed The 4 Subspace Problem
title_sort 4 subspace problem
publisher Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag
publishDate 2008
url http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9803
work_keys_str_mv AT forbregdtorea the4subspaceproblem
AT forbregdtorea 4subspaceproblem
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