Results 51 to 60 of about 310,777 (176)

Acylindrical visual splittings and the Tits alternative for Artin groups

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.
William D. Cohen
wiley   +1 more source

String moduli spaces and parabolic factorizations

Journal of High Energy Physics
The symmetric spaces that appear as moduli spaces in string theory and supergravity can be decomposed with explicit metrics using parabolic subgroups.
Paul S. Aspinwall
doaj   +1 more source

Galois F₄-Bundles, Involutions, and Fixed-Point Subvarieties

Mathematics
Let X be a compact Riemann surface of genus g≥2, σX∈Aut(X) (the group of biholomorphic self-maps of X) an involution, and F4(C) (one of the five exceptional complex simple Lie groups) the fixed-point subgroup of the outer involution σ of the complex ...
Álvaro Antón-Sancho, Samer R. Yaseen
doaj   +1 more source

Modular analogs of character formulas and minimal lifts of modular forms

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley   +1 more source

Linear-distortion compensation using XPM with parabolic pulses [PDF]

, 2007
We experimentally demonstrate a novel all-optical, all-fiberized scheme that can eliminate linear perturbations in the time domain. The technique relies on converting these distortions from time to frequency domain using parabolic pulses shaped using ...
Parmigiani, Francesca, Petropoulos, Periklis, Ibsen, Morten, Richardson, David J., Ng, Trina T., Zhang, Zhaowei   +5 more
core   +2 more sources

Towards a string realization of the Dark Dimension via T-folds

Journal of High Energy Physics
In this work, we explore the feasibility of realizing the Dark Dimension Scenario through T-fold compactifications on T 5 × S 1, where the base of the internal space S 1 naturally acts as the requisite mesoscopic extra dimension. Utilizing Scherk-Schwarz
Guo-En Nian, Stefan Vandoren
doaj   +1 more source

Unitary Representations and the Heisenberg Parabolic Subgroup

Journal of Lie Theory, 2011
11 ...
openaire   +3 more sources

Cauchy identities for staircase matrices

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi   +2 more
wiley   +1 more source

On parabolic subgroups of Artin groups

International audienceGiven an Artin group A Gamma, a common strategy in the study of A Gamma is the reduction to parabolic subgroups whose defining graphs have small diameter, i.e., showing that A Gamma has a specific property if and only if all "small"
Möller, Philip, Paris, Luis, Varghese, Olga   +2 more
core   +1 more source

Parabolic subgroups of complex braid groups [PDF]

In this paper we introduce a class of `parabolic' subgroups for the generalized braid group associated to an arbitrary irreducible complex reflection group, which maps onto the collection of parabolic subgroups of the reflection group.
Marin, Ivan, González-Meneses, Juan
core   +1 more source