Publications by authors named "G LUSZTIG"

Vanishing properties of cuspidal local systems.

Proc Natl Acad Sci U S A

February 1994

Prehomogeneous vector spaces arising from semisimple groups are considered, and it is shown that certain local systems on the open orbit have the property that their middle extension is zero on the complement of the open orbit.

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Canonical bases in tensor products.

Proc Natl Acad Sci U S A

September 1992

Article Synopsis
  • I develop a canonical basis for the tensor product of two types of modules from a quantized enveloping algebra: one with a simple highest weight and the other with a simple lowest weight.
  • This canonical basis is designed to work well with various submodules of the tensor product, enhancing its utility in the structure of the algebra.
  • As a result of this work, I also provide a method to construct a canonical basis for a modified version of the quantized enveloping algebra itself.
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The ability of macrophage-derived foam cells to migrate from atherosclerotic lesions represents one potential mechanism for the regression of atherosclerosis. It is, however, generally recognized that the transformation of macrophages into foam cells results in greatly reduced migrational ability. In the present study, we set out to investigate the factors affecting migratory capability in foam cell-like cells with the use of an in vitro assay.

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Article Synopsis
  • The study investigates the effects of prostacyclin (PGI2) and its stable analogue, 7-oxo-PGI2, on the enzyme activity related to cholesterol metabolism in rabbits that were fed a high-cholesterol diet.
  • It was found that while PGI2 did not significantly lower the activity of the enzyme (ACAT) that contributes to cholesterol accumulation, 7-oxo-PGI2 significantly reduced ACAT activity in the aortic wall.
  • These results suggest that 7-oxo-PGI2 may have a protective effect against atherosclerosis, highlighting the potential of these compounds in cardiovascular health.
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6-keto-prostaglandin F1a and thromboxane B2 were determined by radioimmunoassay in 135 healthy children, as a control group, and in 125 offsprings of parents suffering from premature coronary artery disease. Plasma prostacyclin concentration had decreased in children with a positive family history of coronary artery disease. It was demonstrated a strong reduction of thromboxane level in boys from age 11 in endangered group while the thromboxane/prostacyclin ratio did not differ from the control.

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