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Recently Varagnolo and Vasserot established that theq-deformed Fock spaces due to Hayashi, and Kashiwara, Miwa and Stern, admit actions of the quantum toroidal algebra with the level (0,1).
      
We find that with a specific choice of this parameter, the action on the Fock spaces gives rise to the toroidal action on irreducible level-1 highest weight modules of the affine quantum algebra.
      
Similarly, by a specific choice of the parameter, the level (1,0) vertex representation of the quantum totoidal algebra gives rise to a structure on irreducible level-1 highest weight-modules.
      
The form of these generic polynomials is that of a Bethe eigenfunction and they imitate, on a more elementary level, the R-matrix construction of quantum immanants.
      
In this paper we investigate the ring of Siegel modular forms of genus two and level 3.
      
In a first step we prove that the Satake compactification of the modular variety of genus 2 and level 3 is the normalization of the dual of the Burkhardt quartic.
      
This wavelet basis is obtained from three wavelet generators by scaling, translation and rotation, and the wavelets are supported either by one corner triangle or a pair of adjacent triangles in the triangulation of level k - 1.
      
We establish spectral estimates at a critical energy level for h-pseudo-differential operators.
      
Heterodimerization of G-Protein-Coupled Receptors Reveals an Unexpected Level of Pharmacological Diversity
      
The current state nanotechnology is comparable with the level of technological development in polymers and plastics in the 1930s.
      
Further, manzamine A (50 μM) substantially down regulated the expression of p53 while sarcophine (50 μM) slightly induced the level of p21.
      
Prodigiosin may effectively enter cells and promote the level of intracellular reactive oxygen species (ROSin) in a dose-dependent manner.
      
The library has been tested against Leishmania donovani and Plasmodium falciparum, with activity at the micromolar level.
      
The models were cross-validated by Fischer's randomization test at a 95% confidence level.
      
Hyperlipidemic rats displayed a reduction of the intestinal glutathione level and an increase in intestinal lipid peroxidation levels, and in serum cholesterol, total lipid and phospholipids levels.
      
ANOSIM resulted in R?=?0.5551, which indicates that there is a moderate level of dissimilarity within these brain-penetrating small anticancer agents.
      
The system is subject to failure and it fails once the total cumulative damage level first exceeds a fixed threshold.
      
In this paper, the method is developed by introducing a replacement scheme on the construction of orthogonal arrays, and some new mixed-level orthogonal arrays of run size 36 are constructed.
      
Two-level method for unsteady Navier-Stokes equations in stream function form
      
Two-level finite element approximation to stream function form of unsteady Navier-Stokes equations is studied.
      
 

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