INTRODUCTION: Lie Groups play an important role in physical systems both as phase spaces and as symmetry groups. Infinite dimensional Lie groups occur in the study of dynamical systems with an… (More)

where H is the Hamiltonian (”energy”) and {. , .} is a Poisson bracket on an infinite dimensional phase space, called Poisson manifold. Unlike finite dimensional Hamiltonian systems, which are… (More)

We introduce a geometric framework needed for a mathematical understanding of the BRST symmetries and chiral anomalies in gauge field theories. We define the BRST bicomplex in terms of local… (More)

Discussion focuses on the history of classification of the steles of vascular plants, from Jeffrey (1898) to the present. Recent stelar classifications are largely based (1) on Jeffrey’s system… (More)

We endow the group of invertible Fourier integral operators on an open manifold with the structure of an ILH Lie group. This is done by establishing such structures for the groups of invertible… (More)

We give a review of infinite-dimensional Lie groups and algebras and show some applications and examples in mathematical physics. This includes diffeomorphism groups and their natural subgroups like… (More)

There are many double complexes in the mathematics and physics literature which are related to BRST transformations and anomalies, e.g. Variational-, BRST-, Faddeev-, Koszul-Tate-, Weil-,… (More)

For any Lie algebra g we introduce the notion of g symplectic structures and show that every orbit of a principal G bundle carries a natural g symplectic form and an associated momentum map induced… (More)

This lavishly illustrated monograph helps reviving one of the obscurest generic names in mosses, Codriophorus P. Beauv., misspelled upon publication as " Codonophorus " and rested in synonymy for… (More)