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pro vyhledávání: '"Parkinson, James"'
The aim of this paper is to give a new explicit construction of Lusztig's asymptotic algebra in affine type $\mathsf{A}$. To do so, we construct a balanced system of cell modules, prove an asymptotic version of the Plancherel Theorem and develop a re
Externí odkaz:
http://arxiv.org/abs/2406.07004
An automorphism of a building is called uniclass if the Weyl distance between any chamber and its image lies in a single (twisted) conjugacy class of the Coxeter group. In this paper we characterise uniclass automorphisms of spherical buildings in te
Externí odkaz:
http://arxiv.org/abs/2403.17443
An automorphism of a spherical building is called \textit{domestic} if it maps no chamber onto an opposite chamber. This paper forms a significant part of a large project classifying domestic automorphisms of spherical buildings of exceptional type.
Externí odkaz:
http://arxiv.org/abs/2402.04323
An automorphism of a spherical building is called domestic if it maps no chamber to an opposite chamber. In this paper we classify domestic automorphisms of spherical buildings of classical type.
Externí odkaz:
http://arxiv.org/abs/2303.07707
We introduce the combinatorial model of $J$-folded alcove paths in an affine Weyl group and construct representations of affine Hecke algebras using this model. We study boundedness of these representations, and we state conjectures linking our combi
Externí odkaz:
http://arxiv.org/abs/2212.10781
We classify the automorphisms of a Moufang hexagon mapping no chamber to an opposite chamber (such automorphisms are called domestic). This forms part of a larger program to classify domestic automorphisms of Moufang spherical buildings.
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Externí odkaz:
http://arxiv.org/abs/2208.12320
Autor:
Parkinson, James, Yau, Yeeka
In this article we introduce the notion of a \textit{regular partition} of a Coxeter group. We develop the theory of these partitions, and show that the class of regular partitions is essentially equivalent to the class of automata (not necessarily f
Externí odkaz:
http://arxiv.org/abs/2107.09962
To each automorphism of a spherical building there is naturally associated an "opposition diagram", which encodes the types of the simplices of the building that are mapped onto opposite simplices. If no chamber (that is, no maximal simplex) of the b
Externí odkaz:
http://arxiv.org/abs/2002.07977
Autor:
Ajendra, Jesuthas, Papotto, Pedro H., Parkinson, James E., Dodd, Rebecca J., Bombeiro, André L., Pearson, Stella, Chan, Brian H.K., Ribot, Julie C., McSorley, Henry J., Sutherland, Tara E., Allen, Judith E.
Publikováno v:
In Mucosal Immunology December 2023 16(6):767-775
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