Growth in Chevalley groups relatively to parabolic subgroups and some applications [PDF]
Given a Chevalley group ${\mathbf G}(q)$ and a parabolic subgroup $P\subset {\mathbf G}(q)$, we prove that for any set $A$ there is a certain growth of $A$ relatively to $P$, namely, either $AP$ or $PA$ is much larger than $A$.
I. Shkredov
semanticscholar +1 more source
Quantum Product and Parabolic Orbits in Homogeneous Spaces [PDF]
Chaput, Manivel, and Perrin proved in [3] a formula describing the quantum product by Schubert classes associated to cominuscule weights in a rational projective homogeneous space X. In the case where X has Picard rank one, we relate this formula to the
Pech, Clelia
core +1 more source
Three-Dimensional Transesophageal Echocardiographic Vena Contracta Area for Grading Mitral Regurgitation: Severity Cut-offs From a Prospective Tunisian Cohort. [PDF]
Three‐dimensional vena contracta area (VCA) measured by transoesophageal echocardiography enables precise accurate quantification of mitral regurgitation severity. In a Tunisian cohort, 3D VCA showed strong correlations with conventional 2D indices and excellent diagnostic performance for severe MR, supporting its use particularly in rheumatic mitral ...
Messaoudi Y +3 more
europepmc +2 more sources
On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields [PDF]
We extend the investigation of three-dimensional Hamiltonian systems of non-subgroup type admitting non-zero magnetic fields and an axial symmetry, namely the circular parabolic case, the oblate spheroidal case and the prolate spheroidal case.
S. Bertrand, Ondřej Kubů, Libor Šnobl
semanticscholar +1 more source
Avoiding maximal parabolic subgroups of S_k [PDF]
We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions. The generating function turns out to be rational, and its denominator is a rook polynomial for a rectangular board.
Toufik Mansour, Alek Vainshtein
openaire +7 more sources
The freeness and trace conjectures for parabolic Hecke subalgebras [PDF]
The two most fundamental conjectures on the structure of the generic Hecke algebra $\mathcal{H}(W)$ associated with a complex reflection group $W$ state that $\mathcal{H}(W)$ is a free module of rank $|W|$ over its ring of definition, and that $\mathcal ...
Eirini Chavli, Maria Chlouveraki
semanticscholar +1 more source
Reduction of structure to parabolic subgroups
Let G be an affine group over a field of characteristic not two. A G -torsor is called isotropic if it admits reduction of ...
openaire +2 more sources
One-loop quantum gravity from the N particle 4 spinning
We construct a spinning particle that reproduces the propagation of the graviton on those curved backgrounds which solve the Einstein equations, with or without cosmological constant, i.e. Einstein manifolds. It is obtained by modifying the N $$ \mathcal{
Fiorenzo Bastianelli +3 more
doaj +1 more source
Nondiscrete parabolic characters of the free group F2 : supergroup density and Nielsen classes in the complement of the Riley slice [PDF]
A parabolic representation of the free group F2 is one in which the images of both generators are parabolic elements of PSL(2,C) . Roughly the Riley slice is an open subset R⊂C which is a model for the parabolic, discrete and faithful characters of F2 ...
G. Martin
semanticscholar +1 more source
The Franke filtration is a finite filtration of certain spaces of automorphic forms on the adelic points of a reductive linear algebraic group defined over a number field whose quotients can be described in terms of parabolically induced representations.
Neven Grbac
semanticscholar +1 more source

