215 citations · 301 across the 19 of their papers we have counts for
19 papers
On the quantization of
Murray Gerstenhaber
The Basic Universal Deformation Formula is proven and applied to show that Weyl algebras, which encode Heisenberg's uncertainty principle, are effective deformations of polynomial…
New Universal Deformation Formulas for deformation quantization
Murray Gerstenhaber
Universal Deformation Formulas (UDFs) for the deformation of associative algebras play a key role in deformation quantization. Here we present examples for certain classes of infin…
Deformation of Koszul algebras and the Duflo Isomorphism theorem
Murray Gerstenhaber
Let be a finite dimensional Lie algebra over a field , be its enveloping algebra and be the symmetric algebra on $\mathfrak g…
Path algebras, wave-particle duality, and quantization of phase space
Murray Gerstenhaber
Semigroup algebras admit certain `coherent' deformations which, in the special case of a path algebra, may associate a periodic function to an evolving path; for a particle moving…
Cohomology of Lie semidirect products and poset algebras
Vincent E. Coll, Murray Gerstenhaber
When is a toral subalgebra of a Lie algebra over a field , and a -module on which also acts torally, the Hochs…
Path algebras and de Broglie waves
Murray Gerstenhaber
De Broglie waves may be a reflection of a deformation inherent in the path algebra of phase space. On a Riemannian manifold equipped with a suitable 2-form, the product of paths, w…