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Motivic classes of classifying stacks of some semi-direct products
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-6306-6777
Univ British Columbia, Dept Math, Vancouver, BC, Canada..
2019 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 544, p. 62-74Article in journal (Refereed) Published
Abstract [en]

Let k be a field, let G be a finite group, and let T be a split k-torus on which C acts multiplicatively. For every m >= 1 denote by T[m] the m-torsion subgroup of T. Under a suitable assumption on m, we show that the motivic class of B(T[m] (sic) G) in K-0 (Stacks(k)) equals that of BG. As a consequence, we prove that the motivic class of BW is trivial for a large class of complex reflection groups W.

Place, publisher, year, edition, pages
ACADEMIC PRESS INC ELSEVIER SCIENCE , 2019. Vol. 544, p. 62-74
Keywords [en]
Classifying stacks, Semi-direct products, Motivic classes, Finite reflection groups
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-265171DOI: 10.1016/j.jalgebra.2019.09.033ISI: 000498304800004Scopus ID: 2-s2.0-85073813126OAI: oai:DiVA.org:kth-265171DiVA, id: diva2:1380681
Note

QC 20191219

Available from: 2019-12-19 Created: 2019-12-19 Last updated: 2020-01-03Bibliographically approved

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Martino, Ivan

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