6,283,603 research outputs found
Hermitian forms for affine Hecke algebras
We study star operations for Iwahori-Hecke algebras and invariant hermitian
forms for finite dimensional modules over (graded) affine Hecke algebras with a
view towards a unitarity algorithm.Comment: 29 pages, preliminary version. v2: the classification of star
operations for the graded Hecke algebras and the construction of hermitian
forms in the Iwahori case via Bernstein's projectives have been removed from
this preprint and they will make the basis of a new pape
Star operations for affine Hecke algebras
In this paper, we consider the star operations for (graded) affine Hecke
algebras which preserve certain natural filtrations. We show that, up to inner
conjugation, there are only two such star operations for the graded Hecke
algebra: the first, denoted , corresponds to the usual star operation
from reductive -adic groups, and the second, denoted can be
regarded as the analogue of the compact star operation of a real group
considered by \cite{ALTV}. We explain how the star operation appears
naturally in the Iwahori-spherical setting of -adic groups via the
endomorphism algebras of Bernstein projectives. We also prove certain results
about the signature of -invariant forms and, in particular, about
-unitary simple modules.Comment: 27 pages; section 3 and parts of sections 2 and 5 were previously
contained in the first version of the preprint arXiv:1312.331
Benchmarking Utility Clean Energy Deployment: 2016
Benchmarking Utility Clean Energy Deployment: 2016 provides a window into how the global transition toward clean energy is playing out in the U.S. electric power sector. Specifically, it reveals the extent to which 30 of the largest U.S. investor-owned electric utility holding companies are increasingly deploying clean energy resources to meet customer needs.Benchmarking these companies provides an opportunity for transparent reporting and analysis of important industry trends. It fills a knowledge gap by offering utilities, regulators, investors, policymakers and other stakeholders consistent and comparable information on which to base their decisions. And it provides perspective on which utilities are best positioned in a shifting policy landscape, including likely implementation of the U.S. EPA's Clean Power Plan aimed at reducing carbon pollution from power plants
Ladder representations of GL(n,Q_p)
In this paper, we recover certain known results about the ladder
representations of GL(n, Q_p) defined and studied by Lapid, Minguez, and Tadic.
We work in the equivalent setting of graded Hecke algebra modules. Using the
Arakawa-Suzuki functor from category O to graded Hecke algebra modules, we show
that the determinantal formula proved by Lapid-Minguez and Tadic is a direct
consequence of the BGG resolution of finite dimensional simple gl(n)-modules.
We make a connection between the semisimplicity of Hecke algebra modules,
unitarity with respect to a certain hermitian form, and ladder representations.Comment: 14 page
Gauss Composition for P^1, and the universal Jacobian of the Hurwitz space of double covers
We investigate the universal Jacobian of degree n line bundles over the
Hurwitz stack of double covers of P^1 by a curve of genus g. Our main results
are: the construction of a smooth, irreducible, universally closed (but not
separated) moduli compactification of this universal Jacobian; a description of
the global geometry and moduli properties of these stacks; and a computation of
the Picard groups of these stacks in the cases when n-g is even. An important
ingredient of our work is the parametrization of line bundles on double covers
by binary quadratic forms. This parametrization generalizes the classical
number theoretic correspondence between ideal classes of quadratic rings and
integral binary quadratic forms, which in particular gives the group law on
integral binary quadratic forms first discovered by Gauss.Comment: mathematical and expositional updates and improvements, 29 pages, 5
figure
Numerical simulation of the stochastic dynamics of inclusions in biomembranes in presence of surface tension
The stochastic dynamics of inclusions in a randomly fluctuating biomembrane
is simulated. These inclusions can represent the embedded proteins and the
external particles arriving at a cell membrane. The energetics of the
biomembrane is modelled via the Canham-Helfrich Hamiltonian. The contributions
of both the bending elastic-curvature energy and the surface tension of the
biomembrane are taken into account. The biomembrane is treated as a
two-dimensional sheet whose height variations from a reference frame is treated
as a stochastic Wiener process. The lateral diffusion parameter associated with
this Wiener process coupled with the longitudinal diffusion parameter obtained
from the standard Einsteinian diffusion theory completely determine the
stochastic motion of the inclusions. It is shown that the presence of surface
tension significantly affects the overall dynamics of the inclusions,
particularly the rate of capture of the external inclusions, such as drug
particles, at the site of the embedded inclusions, such as the embedded
proteins.Comment: 17 pages, 4 figures, to appear in physica
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