The classification of p-compact groups for p odd
A p-compact group, as defined by Dwyer and Wilkerson, is a purely homotopically defined p-
local analog of a compact Lie group. It has long been the hope, and later the conjecture, that …
local analog of a compact Lie group. It has long been the hope, and later the conjecture, that …
Gradings on the Albert algebra and on
C Draper, C Martín - 2009 - projecteuclid.org
We study group gradings on the Albert algebra and on the exceptional simple Lie algebra
f_4 over algebraically closed fields of characteristic zero. The immediate precedent of this …
f_4 over algebraically closed fields of characteristic zero. The immediate precedent of this …
The classification of p-compact groups for p odd
A p-compact group, as defined by Dwyer and Wilkerson, is a purely homotopically defined p-
local analog of a compact Lie group. It has long been the hope, and later the conjecture, that …
local analog of a compact Lie group. It has long been the hope, and later the conjecture, that …
Normalizers of maximal tori and real forms of Lie groups
AA Gerasimov, DR Lebedev, SV Oblezin - European Journal of …, 2022 - Springer
Given a complex connected reductive Lie group G with a maximal torus H⊂ G, Tits defined
an extension WGT of the corresponding Weyl group WG. The extended group is supplied …
an extension WGT of the corresponding Weyl group WG. The extended group is supplied …
Нормализаторы максимальных торов в классических группах Ли
АА Герасимов, ДР Лебедев, СВ Облезин - Алгебра и анализ, 2023 - mathnet.ru
ｺ þ ¹ ¹ þ WG ½º½µ þ ÏÏ À℄º ¹ p ¹ ½º½µ ¹ NG(HG)º ℄ ̾℄ ¹ Page 1 ü ¿ ¾¼¾¿µ í¾ ü ü ü ü þ þ
ü ü © üº üº ü þ º º ý þ º þº ý NG(HG) HG ¹ G HG þ WGº ¹ ¹ Aℓ Bℓ Dℓº Cℓ ¹ NG(HG) WT G þ WGº …
ü ü © üº üº ü þ º º ý þ º þº ý NG(HG) HG ¹ G HG þ WGº ¹ ¹ Aℓ Bℓ Dℓº Cℓ ¹ NG(HG) WT G þ WGº …
Gradings on the Albert algebra and on f4
CD Fontanals, CM González - Rev. Mat. Iberoamericana, 2009 - ems.press
We study group gradings on the Albert algebra and on the exceptional simple Lie algebra f4
over algebraically closed fields of characteristic zero. The immediate precedent of this work …
over algebraically closed fields of characteristic zero. The immediate precedent of this work …
[PDF][PDF] Cartan involutions and normalizers of maximal tori
WG Dwyer, CW Wilkerson - Publ. Res. Inst. Math. Sci, 2004 - researchgate.net
One consequence of Tits' well known work [11] on the structure of the normalizer of the
maximal torus in a connected compact Lie group is that twice the k-invariant classifying the …
maximal torus in a connected compact Lie group is that twice the k-invariant classifying the …
Fine Gradings on
1. Introduction Page 1 Publ. Mat. 60 (2016), 113–170 DOI: 10.5565/PUBLMAT 60116 05 FINE
GRADINGS ON e6 Cristina Draper ∗ and Antonio Viruel † Abstract: There are fourteen fine …
GRADINGS ON e6 Cristina Draper ∗ and Antonio Viruel † Abstract: There are fourteen fine …
On normalizers of maximal tori in classical Lie groups
A Gerasimov, D Lebedev, S Oblezin - St. Petersburg Mathematical Journal, 2024 - ams.org
In general, the normalizer $ N_G (H_G) $ of a maximal torus $ H_G $ in a semisimple
complex Lie group $ G $ does not admit a presentation as a semidirect product of $ H_G …
complex Lie group $ G $ does not admit a presentation as a semidirect product of $ H_G …