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Crystals of Type B and Metaplectic Whittaker Functions
Metaplectic Whittaker Functions Type B
2015/7/6
Let n be an integer and let F be a nonarchimedean local eld whose characteristic
is not a prime dividing n. Let k be the group of k-th roots of unity in the algebraic
closure of F; we assume that ...
Automorphic forms are generalizations of periodic functions; they are functions on a group that
are invariant under a discrete subgroup. A natural way to arrange this invariance is by averaging.
Eis...
On the long-time behavior of some mathematical models for nematic liquid crystals
liquid crystals Navier-Stokes system omega-limit set
2011/9/21
Abstract: A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of two basic state variables: the {\it velocity field} $\bu$ and the {\it directo...
Symmetric chain decomposition for cyclic quotients of Boolean algebras and relation to cyclic crystals
Symmetric chain decomposition Boolean algebras cyclic crystals
2011/9/15
Abstract: The quotient of a Boolean algebra by a cyclic group is proven to have a symmetric chain decomposition. This generalizes earlier work of Griggs, Killian and Savage on the case of prime order,...
On a 3D isothermal model for nematic liquid crystals accounting for stretching terms
3D isothermal model nematic liquid crystals Analysis of PDEs
2011/9/15
Abstract: The present contribution investigates the well-posedness of a PDE system describing the evolution of a nematic liquid crystal flow under kinematic transports for molecules of different shape...
Weyl modules, Demazure modules and finite crystals for non-simply laced type
Weyl modules Demazure modules finite crystals non-simply laced type
2011/2/28
We show that any Weyl module for a current algebra has a filtration such that each successive quotient is isomorphic to some Demazure mod-ule.
Fluid-induced pattern-formation in 3D photonic crystals with spatially varying surface functionalization
3D photonic spatially varying surface functionalization
2010/12/28
We introduce a 3D porous photonic crystal whose inner surfaces are chemically functionalized in arbitrary spatial patterns with micro-scale resolution. We use this platform to demonstrate pattern-form...
A blow-up criterion for the compressible liquid crystals system
the compressible liquid crystals system math
2010/11/23
In this paper, we establish a blow-up criterion for the compressible liquid crystals equations in terms of the gradient of the velocity only, similar to the Beale-Kato-Majda criterion \cite{majda} fo...
Infinite Bar-Joint Frameworks, Crystals and Operator Theory
nfinite bar-joint framework vanishing flexibility rigidity operator
2010/12/9
A theory of flexibility and rigidity is developed for general infinite bar-joint frameworks (G, p). Determinations of nondeformability through vanishing flexibility are obtained as well
as sufficient...
Quiver Varieties and Path Realizations arising from Adjoint Crystals of type $A_n^{(1)}$
adjoint crystal crystal graph Kac-Moody algebra
2010/12/6
Let B(0) be the level 1 highest weight crystal of the quantum affine algebra Uq(A (1)
n ).We construct an explicit crystal isomorphism between the geometric realization B(0) of B(0) via quiver var...
The significance of the comultiplication is that it determines a
multiplicative structure on the tensor category of representations.