Collected Papers

The Weyl algebra and the structure of all Lie superalgebras of Riemannian type.- Dirac cohomology for the cubic Dirac operator.- The generalized Cayley map from an algebraic group to its Lie algebra.- A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem.- Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra.- Minimal coadjoint orbits and symplectic induction.- The Coxeter element and the branching law for the finite subgroup of SU(2).- Gelfand-Zeitlin theory from the perspective of classical mechanics. I.- Gelfand-Zeitlin theory from the perspective of classical mechanics. II.- On the centralizer of K in U(g).- Fomenko-Mischenko theory, Hessenberg varieties, and polarizations.- Root systems for Levi factors and Borel-de Siebenthal theory.- On a theorem of Ranee Brylinski.- Experimental evidence for the occurrence of E8 in nature and the radii of the Gosset circles.- On some exotic finite subgroups of E8 and Springer's regular elements of the Weyl group.- On the algebraic set of singular elements in a complex simple Lie algebra.- The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group.- Center U(n), Cascade of orthogonal roots, and a construction of Lipsman-Wolf.- Action of the conformal group on steady state solutions to Maxwell's equations and background radiation.- Equations for a filtration of sheets and the variety of singular elements of a complex semisimple Lie algebra