10,493 research outputs found
Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young's seminormal basis
Let be a connected reductive algebraic group over an algebraically closed
field of characteristic , denote the Weyl module of
of highest weight and be the canonical -morphism. We study the
split condition for over , and apply
this as an approach to compare the Jantzen filtrations of the Weyl modules
and . In the case when is of type
, we show that the split condition is closely related to the product of
certain Young symmetrizers and, under some mild conditions, is further
characterized by the denominator of a certain Young's seminormal basis vector.
We obtain explicit formulas for the split condition in some cases
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Gene duplication and an accelerated evolutionary rate in 11S globulin genes are associated with higher protein synthesis in dicots as compared to monocots
Background: Seed storage proteins are a major source of dietary protein, and the
content of such proteins determines both the quantity and quality of crop yield.
Significantly, examination of the protein content in the seeds of crop plants shows a
distinct difference between monocots and dicots. Thus, it is expected that there are
different evolutionary patterns in the genes underlying protein synthesis in the seeds
of these two groups of plants.
Results: Gene duplication, evolutionary rate and positive selection of a major gene
family of seed storage proteins (the 11S globulin genes), were compared in dicots and
monocots. The results, obtained from five species in each group, show more gene
duplications, a higher evolutionary rate and positive selections of this gene family in
dicots, which are rich in 11S globulins, but not in the monocots.
Conclusion: Our findings provide evidence to support the suggestion that gene
duplication and an accelerated evolutionary rate may be associated with higher protein
synthesis in dicots as compared to monocots
Anisotropic emission of thermal dielectrons from Au+Au collisions at ~GeV with EPOS3
Dileptons, as an electromagnetic probe, are crucial to study the properties
of a Quark-Gluon Plasma (QGP) created in heavy ion collisions. We calculated
the invariant mass spectra and the anisotropic emission of thermal dielectrons
from Au+Au collisions at the Relativistic Heavy Ion Collider (RHIC) energy
~GeV based on EPOS3. This approach provides a realistic
(3+1)-dimensional event-by-event viscous hydrodynamic description of the
expanding hot and dense matter with a very particular initial condition, and a
large set of hadron data and direct photons (besides and !) can
be successfully reproduced. Thermal dilepton emission from both the QGP phase
and the hadronic gas are considered, with the emission rates based on Lattice
QCD and a vector meson model, respectively. We find that the computed invariant
mass spectra (thermal contribution + STAR cocktail) can reproduce the measured
ones from STAR at different centralities. Different compared to other model
predictions, the obtained elliptic flow of thermal dileptons is larger than the
STAR measurement referring to all dileptons. We observe a clear centrality
dependence of thermal dilepton not only for elliptic flow but also for
higher orders. At a given centrality, of thermal dileptons decreases
monotonically with for .Comment: 10pages, 12fig
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