We work out the relation between automorphic forms on SO(2 + s, 2, Z) and gauge one–loop corrections of heterotic K3×T 2 string compactifications for the cases s = 0, 1. We find that one–loop gauge corrections of any orbifold limit of K3 can always be expressed by their instanton numbers and generic automorphic forms. These functions classify also one– loop gauge thresholds of N=1 (0, 2) hetero...

The crystal structure of the periplasmic domain of the aspartate receptor from Escherichia coli has been solved and refined to an R factor of 0.203 at 2.3/~, resolution. The dimeric protein is largely helical, with four helices from each monomer forming a four-helix bundle. The dimer interface is constructed from four helices, two from each subunit, also packed together in a fourhelix bundle ar...

The analog of the principal SO(3) subalgebra of a finite dimensional simple Lie algebra can be defined for any hyperbolic Kac Moody algebra g(A) associated with a symmetrizable Cartan matrix A, and coincides with the non-compact algebra SO(1, 2). We exhibit the decomposition of g(A) into representations of SO(1, 2); with the exception of the adjoint SO(1, 2) algebra itself, all of these represe...