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McKay Quivers and Lusztig Algebras of Some Finite Groups

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Bibliographic Details
Main Authors: Ragnar-Olaf, Buchweitz, Eleonore, Faber, Colin, Ingalls
Format: Book
Language:English
Published: Springer 2023
Subjects:
McKay quiver Γ(G)
group rings A ∗G
Online Access:https://link.springer.com/article/10.1007/s10468-021-10099-x
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7443
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spelling oai:localhost:PNK-74432023-04-03T07:54:50Z McKay Quivers and Lusztig Algebras of Some Finite Groups Ragnar-Olaf, Buchweitz Eleonore, Faber Colin, Ingalls McKay quiver Γ(G) group rings A ∗G CC BY We are interested in the McKay quiver Γ(G) and skew group rings A ∗G, where G is a finite subgroup of GL(V ), where V is a finite dimensional vector space over a field K, and A is a K −G-algebra. These skew group rings appear in Auslander’s version of the McKay correspondence. In the first part of this paper we consider complex reflection groups G⊆GL(V) and find a combinatorial method, making use of Young diagrams, to construct the McKay quivers for the groups G(r,p,n). We first look at the case G(1,1,n), which is isomorphic to the symmetric group Sn, followed by G(r,1,n) for r > 1. 2023-04-03T07:54:50Z 2023-04-03T07:54:50Z 2021 Book https://link.springer.com/article/10.1007/s10468-021-10099-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/7443 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic McKay quiver Γ(G)
group rings A ∗G
spellingShingle McKay quiver Γ(G)
group rings A ∗G
Ragnar-Olaf, Buchweitz
Eleonore, Faber
Colin, Ingalls
McKay Quivers and Lusztig Algebras of Some Finite Groups
description CC BY
format Book
author Ragnar-Olaf, Buchweitz
Eleonore, Faber
Colin, Ingalls
author_facet Ragnar-Olaf, Buchweitz
Eleonore, Faber
Colin, Ingalls
author_sort Ragnar-Olaf, Buchweitz
title McKay Quivers and Lusztig Algebras of Some Finite Groups
title_short McKay Quivers and Lusztig Algebras of Some Finite Groups
title_full McKay Quivers and Lusztig Algebras of Some Finite Groups
title_fullStr McKay Quivers and Lusztig Algebras of Some Finite Groups
title_full_unstemmed McKay Quivers and Lusztig Algebras of Some Finite Groups
title_sort mckay quivers and lusztig algebras of some finite groups
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10468-021-10099-x
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7443
_version_ 1762184304290430976
score 8.881002

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