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Crystals of Type B and Metaplectic Whittaker Functions     Metaplectic Whittaker Functions  Type B       font style='font-size:12px;'> 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 ...
Eisenstein Series, Crystals and Ice     Eisenstein Series  Crystals and Ice       font style='font-size:12px;'> 2015/7/6
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...
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...
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,...
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...
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.
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...
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...
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...
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...
Crystals and Multiple Dirichlet Series     Crystals  Multiple Dirichlet Series       font style='font-size:12px;'> 2015/7/6
The significance of the comultiplication is that it determines a multiplicative structure on the tensor category of representations.

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