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Oriented Cohomology Rings of the Semisimple Linear Algebraic Groups of Ranks 1 and 2

In this thesis, we compute minimal presentations in terms of generators and relations for the oriented cohomology rings of several semisimple linear algebraic groups of ranks 1 and 2 over algebraically closed fields of characteristic 0. The main tools we use in this thesis are the combinatorics of Coxeter groups and formal group laws, and recent results of Calm\`es, Gille, Petrov, Zainoulline, and Zhong, which relate the oriented cohomology rings of flag varieties and semisimple linear algebraic groups to the dual of the formal affine Demazure algebra.

Identiferoai:union.ndltd.org:uottawa.ca/oai:ruor.uottawa.ca:10393/42566
Date23 August 2021
CreatorsGandhi, Raj
ContributorsSavage, Alistair, Zaynullin, Kirill
PublisherUniversité d'Ottawa / University of Ottawa
Source SetsUniversité d’Ottawa
LanguageEnglish
Detected LanguageEnglish
TypeThesis
Formatapplication/pdf

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