ar X iv : m at h - ph / 9 90 10 11 v 1 1 9 Ja n 19 99 NON - COMMUTATIVE BLOCH THEORY

ar X iv : m at h - ph / 9 90 10 11 v 2 2 9 Ju n 19 99 NON - COMMUTATIVE BLOCH THEORY : AN OVERVIEW

For differential operators which are invariant under the action of an abelian group Bloch theory is the tool of choice to analyze spectral properties. By shedding some new non-commutative light on this we motivate the introduction of a noncommutative Bloch theory for elliptic operators on Hilbert C-modules. It relates properties of C-algebras to spectral properties of module operators such as b...

ar X iv : n uc l - th / 9 90 10 97 v 1 2 9 Ja n 19 99 1 The Landau - Migdal Parameters , g ′ NN and g

ar X iv : m at h - ph / 9 90 90 25 v 1 2 1 Se p 19 99 The symmetries of the Manton superconductivity model

The symmetries and conserved quantities of Manton's modified superconductiv-ity model with non-relativistic Maxwell-Chern-Simons dynamics (also related to the Quan-tized Hall Effect) are obtained in the " Kaluza-Klein type " framework of Duval et al. 1. Introduction Recently [1], Manton proposed a modified version of the Landau-Ginzburg theory of superconductivity. His equations, defined on (2 ...

ar X iv : m at h / 06 01 47 2 v 1 [ m at h . Q A ] 1 9 Ja n 20 06 REPRESENTATIONS OF QUANTUM GROUPS DEFINED OVER COMMUTATIVE RINGS II

In this article we study the structure of highest weight modules for quantum groups defined over a commutative ring with particular emphasis on the structure theory for invariant bilinear forms on these modules.

ar X iv : n uc l - th / 9 90 10 97 v 2 3 0 Ja n 19 99 1 The Landau - Migdal Parameters , g ′ NN and g ′ N ∆ and Pion