Clifford correspondence for algebras

We give a Clifford correspondence for an algebra A over an algebraically closed field, that is an algorithm for constructing some finite-dimensional simple A-modules from simple modules for a subalgebra and endomorphism algebras. This applies to all finite-dimensional simple A-modules in the case that A is finite-dimensional and semisimple with a given semisimple subalgebra. We discuss connections between our work and earlier results, with a view towards applications particularly to finite-dimensional semisimple Hopf algebras.Comment: 12 page

Watchout Watchmen! Congress Has Excluded Security Employees from Maritime Employment Coverage under the Longshore and Harborworkers\u27 Compensation Act Amendments of 1984

This Comment examines the recent Congressional decision that individuals employed exclusively to perform security work are no longer covered under the Longshore and Harbor Workers\u27 Compensation Act (LHWCA). The author argues that watchmen had been traditionally covered both before and after Congress added a status test for coverage in 1972. Examining the pre and post-1972 decisional history, the author argues that because Congress eliminated the jurisdictional dilemma which formerly served as the main justification for extending LHWCA coverage, the 1984 LHWCA amendments excluding coverage are consistent with those previous judicial decisions extending coverage to watchmen

Lunar surface engineering properties experiment definition Quarterly report, 1 Oct. - 31 Dec. 1968

Mechanical properties of simulated lunar soil

Tendency of spherically imploding plasma liners formed by merging plasma jets to evolve toward spherical symmetry

Three dimensional hydrodynamic simulations have been performed using smoothed particle hydrodynamics (SPH) in order to study the effects of discrete jets on the processes of plasma liner formation, implosion on vacuum, and expansion. The pressure history of the inner portion of the liner was qualitatively and quantitatively similar from peak compression through the complete stagnation of the liner among simulation results from two one dimensional radiationhydrodynamic codes, 3D SPH with a uniform liner, and 3D SPH with 30 discrete plasma jets. Two dimensional slices of the pressure show that the discrete jet SPH case evolves towards a profile that is almost indistinguishable from the SPH case with a uniform liner, showing that non-uniformities due to discrete jets are smeared out by late stages of the implosion. Liner formation and implosion on vacuum was also shown to be robust to Rayleigh-Taylor instability growth. Interparticle mixing for a liner imploding on vacuum was investigated. The mixing rate was very small until after peak compression for the 30 jet simulation.Comment: 28 pages, 16 figures, submitted to Physics of Plasmas (2012

Material studies related to lunar surface exploration Technical summary report, 6 Mar. 1967 - 30 Jun. 1968

Summary of research studies on lunar surface material propertie