Results 51 to 60 of about 18,865 (173)
Parabolic subgroups in characteristics 2 and 3
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract This text brings to an end the classification of non‐reduced parabolic subgroups in positive characteristic, especially 2 and 3: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.
Matilde Maccan
wiley +1 more source
Principal Series Representations of Direct Limit Groups [PDF]
, 2004 We combine the geometric realization of principal series representations of the author, with the Bott--Borel--Weil Theorem for direct limits of compact groups of Natarajan, Rodriguez-Carrington and the author, obtaining limits of principal series ...
Wolf, Joseph A.
core +1 more source
A Jordan–Chevalley decomposition beyond algebraic groups
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We prove a decomposition of definable groups in o‐minimal structures generalizing the Jordan–Chevalley decomposition of linear algebraic groups. It follows that any definable linear group G$G$ is a semidirect product of its maximal normal definable torsion‐free subgroup N(G)$\mathcal {N}(G)$ and a definable subgroup P$P$, unique up to ...
Annalisa Conversano
wiley +1 more source
Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
wiley +1 more source
Local character expansions and asymptotic cones over finite fields
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We generalise Gelfand–Graev characters to R/Z$\mathbb {R}/\mathbb {Z}$‐graded Lie algebras and lift them to produce new test functions to probe the local character expansion in positive depth. We show that these test functions are well adapted to compute the leading terms of the local character expansion and relate their determination to the ...
Dan Ciubotaru, Emile Okada
wiley +1 more source
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
Relatively dominated representations from eigenvalue gaps and limit maps. [PDF]
Geom Dedic, 2023 Zhu F.
europepmc +1 more source
Maximal Subgroups of Compact Lie Groups
, 2013 This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) those of trivial type, which ...
Antoneli, Fernando +2 more
core
Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
europepmc +1 more source
Coordinates of the representation space in the semisimple Lie group of rank one [PDF]
Bulletin of the Australian Mathematical Society, 1998 In this paper we show that the space of irreducible representations from a finitely presented group into the group of isometries of a rank one symmetric space of non-compact type, embeds into ℝn for some n, where the coordinates are the translation lengths of isometries in the representation.
openaire +2 more sources