72 citations · 148 across the 22 of their papers we have counts for
22 papers
Generalized Amitsur-Levitski theorem and equations for sheets in a reductive complex Lie algebra
Bertram Kostant
I connect an old result of mine on a Lie algebra generalization of the Amitsur-Levitski theorem with equations for sheets in a reductive Lie algebra and with recent results of Kost…
Coadjoint structure of Borel subgroups and their nilradicals
Bertram Kostant
Let be a complex simply-connected semisimple Lie group and let . Let be a triangular decomposition of .…
The coadjoint structure of Borel subgroups and their nilradicals
Bertram Kostant
Let be a complex simply-connected semisimple Lie group and let . Let be a triangular decomposition of .…
Center of U(n), Cascade of Orthogonal Roots, and a Construction of Lipsman-Wolf
Bertram Kostant
Let be a complex simply-connected semisimple Lie group and let $\g=\hbox{\rm Lie}\,G$. Let $\g = \n_- +\hh + \n$ be a triangular decomposition of $\g$. One readily has that $\h…
Action of the conformal group on steady state solutions to Maxwell's equations and background radiation
Bertram Kostant, Nolan Wallach
The representation of the conformal group (PSU(2,2)) on the space of solutions to Maxwell's equations on the conformal compactification of Minkowski space is shown to break up into…
The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group
Bertram Kostant
Let be a semisimple Lie group and let $\g =\n_- +\hh +\n$ be a triangular decomposition of $\g= \hbox{Lie}\,G$. Let $\b =\hh +\n$ and let be Lie subgroups of corres…