Item type:Doctoral Thesis, Open Access

Some Representation stability results and generalizations

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Date

2020-07-07

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Philipps-Universität Marburg
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Abstract

This thesis is about representation stability in the sense of Church and Farb. We show that sequences of cohomology groups of complements of arrangements of certain diagonal subspaces stabilize. We generalize the notion of representation stability to describe the behavior of products of stabilizing sequences. Furthermore, we provide a representation theoretic formula for the cohomology of relative arrangements.

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Dates
Created: 2020Issued: 2020-07-07Updated: 2020-07-07
DOI
https://doi.org/10.17192/z2020.0228
Faculty
Fachbereich Mathematik und Informatik
Publisher
Philipps-Universität Marburg
Language
eng
Data types
DoctoralThesis
Keywords
symmetric functionstopologySymmetrische Funktionenrepresentation theorycohomology
DFG-subjects
TopologieDarstellungstheorieKohomologie
DDC-Numbers
510
License
https://rightsstatements.org/vocab/InC-NC/1.0/
URI
https://open.uni-marburg.de/handle/10.17192/z2020.0228
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Rapp, Artur: Some Representation stability results and generalizations. : Philipps-Universität Marburg 2020-07-07. DOI: https://doi.org/10.17192/z2020.0228.

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