Results 91 to 100 of about 290 (179)

Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type

open access: yesForum of Mathematics, Sigma
In this paper, we prove some orthogonality relations for representations arising from deep level Deligne–Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig [Lus04], and of Chan and the second author [CI21b].
Olivier Dudas, Alexander B. Ivanov
doaj   +1 more source

Root cycles in Coxeter groups

open access: yesJournal of Group Theory
Abstract For an element 𝑤 of a Coxeter group 𝑊, there are two important attributes, namely its length, and its expression as a product of disjoint cycles in its action on Φ, the root system of 𝑊. This paper investigates the interaction between these two features of 𝑤, introducing the notion of the crossing number of 𝑤,
Sarah Hart   +2 more
openaire   +1 more source

Advancing mathematics by guiding human intuition with AI. [PDF]

open access: yesNature, 2021
Davies A   +13 more
europepmc   +1 more source

Numbers and narratives: how qualitative methods can strengthen the science of paediatric antimicrobial stewardship. [PDF]

open access: yesJAC Antimicrob Resist, 2022
Woods-Hill CZ   +7 more
europepmc   +1 more source

The Coxeter group \(G^{5,5,12}\).

open access: yes, 2015
Summary: The groups \(G^{l,m,n}\) are studied extensively by Coxeter. Higman has posed the question that how small \(l,m,n\) can be made while maintaining the property that all but finitely many alternating and symmetric groups are quotients of \(G^{l,m,n}\).
Ashiq, M., Imran, T.
openaire   +2 more sources

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