We consider finite-dimensional irreducible transitive graded Lie algebras L = r i=−q Li over algebraically closed fields of characteristic three. We assume that the null component L0 is classical and reductive. The adjoint representation of L on itself induces a representation of the commutator subalgebra L ′ 0 of the null component on the minus-one component L−1. We show that if the depth q of L is greater than one, then this representation must be restricted.Over algebraically closed fields F of characteristic p > 0, the classification of the finite-dimensional simple Lie algebras relies on the classification of the finite-dimensional irreducible transitive graded Lie algebras L = r i=−q L i of depth q ≧ 1 with classical reductive null component L 0 . We recall some of the progress that has been made in the classification of such Lie algebras L. In the case in which L −1 is not only irreducible but also restricted as an L 0 -module, such
The pressure dependence of the decay of the Ar(3p 5 4p) states excited by an energetic pulsed ion beam was studied in the pressure range 5-1600 kPa. All of the ten 3p 5 4p states have a fast build-up component and, with the exception of the 2p 1 state, two decay components: one fast (3-18 ns at 100 kPa) and one slow (20-300 ns at 100 kPa). Extrapolation of the fast decay rates to zero pressure yields the natural lifetimes of the states to values within the accuracy of the measurements. Most of the slow decays show nonlinear pressure dependencies. This nonlinearity is probably due to several competing processes. The slow decay of the 2p 3 -2p 5 states can be associated with the fast decay of the 2p 2 state. The pressure dependency of the 2p 2 state is considerably different from the other states within the 3p 5 4p configuration. It is concluded that the build-up of the 2p 2 state is associated with dissociative recombination of Ar + 2 and Ar 2+ 3 molecules. ¶
A special programme for the diagnosis and prevention of lysosomal storage diseases (LSD) was developed in the former USSR. All the patients from 814 families at risk were investigated using biochemical techniques. In total, 363 patients with mucopolysaccharidoses (MPS), mucolipidoses, glycoproteinoses, sphingolipidoses and other LSD were diagnosed; 55 families at risk sought prenatal diagnosis and 67 fetuses were investigated for MPS (types I, II, IIIA and IIIB, VI), Tay-Sachs disease, Sandhoff disease, GM1-gangliosidosis, metachromatic leukodystrophy, mannosidosis, Gaucher disease and multiple sulphatidosis; 17 affected fetuses were diagnosed and aborted. There was an ethnic distribution of different lysosomal storage diseases in the former USSR.
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