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pro vyhledávání: '"Annette Pilkington"'
Autor:
Annette Pilkington
Publikováno v:
Communications in Algebra. :1-30
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87f6b7b6855efba1e6cd6cc3badcd929
https://doi.org/10.1080/00927872.2023.2213347
https://doi.org/10.1080/00927872.2023.2213347
Autor:
Annette Pilkington, Timothy Ferdinands
Publikováno v:
Rocky Mountain J. Math. 48, no. 3 (2018), 819-829
In this paper, we look at properties of roots which can be written as sums of roots in crystallographic root systems. We derive properties of the poset associated to such a sum consisting of the subsums which are themselves roots.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28ea31e618ce7bfe23b38ad9d5261156
https://projecteuclid.org/euclid.rmjm/1533230826
https://projecteuclid.org/euclid.rmjm/1533230826
Autor:
Annette Pilkington
Publikováno v:
Communications in Algebra. 42:1965-1993
A structure of a complete lattice (in the sense of a poset) is defined on the underlying set of the orhtogonal group of a real Euclidean space, by a construction analogous to that of the weak order of a Coxeter system in terms of its root system. Thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::982a097c580be385bdac70b161580287
https://doi.org/10.1080/00927872.2012.751991
https://doi.org/10.1080/00927872.2012.751991
Autor:
Annette Pilkington
Publikováno v:
Journal of Algebra. 387:29-67
This paper examines the concept of a stratified exact category in the context of Dedekind domains and corresponding finite Galois groups. BGG reciprocity and duality are proven for these categories making them highest weight categories. The strong co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d1617bfbd44907d0c7c353fcc72f7e0
https://doi.org/10.1016/j.jalgebra.2013.03.029
https://doi.org/10.1016/j.jalgebra.2013.03.029
Autor:
Annette Pilkington
Publikováno v:
Communications in Algebra. 34:3183-3202
This article investigates several convex closure operators on a finite root system. It is shown that a natural closure operator on the positive root system of a finite Weyl group satisfies the anti-exchange condition for all root systems except type
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fb83cde5ccc721ce235d741700597a3
https://doi.org/10.1080/00927870600778340
https://doi.org/10.1080/00927870600778340