weyl group
Weyl Group Orbit Functions in Image Processing
... We deal with the Fourier-like analysis of functions on discrete grids in two-dimensional simplexes using C- and E-Weyl group orbit functions. For these cases, we present the convolution theorem. We provide ...
11
Representations of sln(C), the Weyl Group, the Root Lattice, and Linear Braids
... isometry group generated by reflections acts on. The Weyl group is first tracked down when it is used to fill the weight diagram of a finite dimensional ...
94
On the Affine Weyl group of type A˜n−1
... We see in Bourbaki [2] that extension of S n, the symmetric group of degree n, by a group of translations and of is one of the crystallographic Coxeter groups considered a lattice of wei[r] ...
8
Combinatorial integers (m,nj) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds
... and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring struc- tures of LG/T and ΩG for a ffi ne group A 2 ...
55
On Ellipsoids Attached to Root Systems
... the Weyl group acts on the sets of all their Diophantine ...the Weyl group on the sets of Diophantine solutions of the equations of the el- ...the Weyl group suggests an order on ...
9
A geometric characterisation of the blocks of the Brauer algebra
... In this section we will show that, even if n is arbitrarily large, being in the same orbit under the affine Weyl group is not sufficient to ensure that two weights lie in the same block. This is most ...
24
The Finite Heisenberg-Weyl Groups in Radar and Communications
... Heisenberg-Weyl group of Section 2 corresponding to p = 2, to the other Heisenberg- Weyl ...the group. We show that the maximal Abelian subgroups of the Heisenberg-Weyl groups can be ...
12
Ramos Cuevas, Carlos (2009): On Convex Subcomplexes of Spherical Buildings and Tits’ Center Conjecture. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... cases. On the other hand, any spherical building has a canonical thick structure (depending only on its isometry type) which results from restricting to a subgroup of the Weyl group ([Sch87], [KL98, Sec. ...
111
Wolfgang Ziller, Professor of Mathematics Supervisor of Dissertation Jonathan Block, Professor of Mathematics Graduate Group Chairperson Dissertation Committee Wolfgang Ziller, Professor of Mathematics Herman R. Gluck, Professor of Mathematics James Haglund, Associate Professor of Mathematics
... generalized Weyl group parametrize the intersection of K-orbits with Σ, the actions of the two generalized Weyl groups on Σ are also ...finite group representations orbit equivalence implies ...
75
Algorithms for Computing Restricted Root Systems and Weyl Groups
... the Weyl group of the restricted root system in terms of representatives of the Weyl group of the related maximal ...the Weyl group and its action on the root subspaces of the ...
152
Commuting involution graphs for [(A)\tilde]n
... let X be a conjugacy class of involutions of G. We write Diam C(G, X) for the diameter of C(G, X) (when it is connected). Let ˆ G be the underlying Weyl group A n−1 of G. It will be shown that every ...
10
The decomposition into cells of the affine Weyl groups of type A
... In [1], Kazhdan and Lusztig introduce the concept of a W-graph for a Coxeter group W. In particular, they define left, right and two-sided cells. These W-graphs play an important role in the representation theory. ...
244
Maximal tori in finite groups of lie type
... between the conjugacy classes of maximal tori in the finite group and certain equivalence classes in the corresponding Weyl group... result, and its consequences, is discussed in Chapter[r] ...
175
Emergent Weyl fermion excitations in TaP explored by 181Ta quadrupole resonance
... quire the existence of gapless surface states. Many of the new materials host exotic excitations whose obser- vation can be regarded as direct experimental evidence for the existence of quasiparticles. Arguably, the most ...
7
Hp Boundedness of Weyl multipliers
... Jizheng, H: The boundedness of Weyl multiplier on Hardy spaces associated with twisted convolution.. Thangavelu, S: Lectures on Hermite and Laguerre Expansions.[r] ...
9
p-Mechanics and field theory
... Acknowledgement. I am very grateful to Prof. I.V. Kanatchikov for introducing me to the De Donder–Weyl theory and many stimulating discussions and com- ments. Dr. Gong Yafang also read the paper and made several ...
13
Decomposition numbers for distant Weyl modules
... on Weyl modules corresponding to p 2 -restricted weights, it is easy to deter- mine those weights (with multiplicities) which give rise to λ after one iteration of Algorithm ...
30
Superconductivity from piezoelectric interactions in Weyl semimetals
... The structure of the remainder of this paper is as fol- lows. In Sec. II, we explain the model used in our study, derive the piezoelectric coupling Hamiltonian, and intro- duce a local field theory capturing both e-e and ...
19
Ultrahigh conductivity in Weyl semimetal NbAs nanobelts
... Our recent theoretical work simulating the effect of surface vacancies on the Fermi arcs in an almost identical system, TaAs 29 , revealed that the arc states acquire a very little broadening up to very high values of ...
13
Generalized Weyl algebras and diskew polynomial rings
... Simplicity criteria for generalized Weyl algebras. Theorem 2.2 shows existence of gen- eralized Weyl algebras. Let D be a ring and σ be its ring endomorphism. An ideal I of D is called σ-stable if σ(I) ⊆ I. ...
29