7 papers
q-Algebras and Arrangements of Hyperplanes
Christian Fronsdal
Varchenko's approach to quantum groups, from the theory of arrangements of hyperplanes, can be usefully applied to q-algebras in general, of which quantum groups and quantum (super…
Retrospective on Quantization
Christian Fronsdal
Quantization is still a central problem of modern physics. One example of an unsolved problem is the quantization of Nambu mechanics. After a brief comment on the role of Harrison…
On the classification of q-algebras
Christian Fronsdal
The problem is the classification of the ideals of ``free differential algebras", or the associated quotient algebras, the q-algebras; being finitely generated, unital C-algebras w…
Singleton physics
Moshe Flato, Christian Fronsdal, Daniel Sternheimer
We review the developments in the past twenty years (which are based on our deformation philosophy of physical theories) dealing with elementary particles composed of singletons in…
Gauge Fields and Singletons of
S. Ferrara, C. Fronsdal
We show that -forms on describe both singletons and massless particles. On the -dimensional boundary the singleton -form Lagrangian reduces to the conformall…
The Ideals of Free Differential Algebras
C. Fronsdal, A. Galindo
We consider the free -algebra with generators , together with a set of differential operators th…