52 citations · 53 across the 2 of their papers we have counts for
4 papers · 1 filter
Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
Mark J. Gotay, James Isenberg, Jerrold E. Marsden
With the covariant formulation in hand from the first paper of this series (physics/9801019), we begin in this second paper to study the canonical (or ``instantaneous'') formulatio…
On quantizing semisimple basic algebras II: The general case
Mark J. Gotay
We prove that there is no consistent polynomial quantization of the coordinate ring of a basic non-nilpotent coadjoint orbit of a semisimple Lie group.
On quantizing semisimple basic algebras
Mark J. Gotay
We show that there is a consistent polynomial quantization of the coordinate ring of a basic nilpotent coadjoint orbit of a semisimple Lie group. We also show, at least in the case…
On Quantizing Nilpotent and Solvable Basic Algebras
Mark J. Gotay, Janusz Grabowski
We prove an algebraic ``no-go theorem'' to the effect that a nontrivial Poisson algebra cannot be realized as an associative algebra with the commutator bracket. Using this, we sho…