Scabies by Kenneth Mellamby

Book Review of Scabies by Kenneth Mellamby. Second Edition. E.W. Classey Limited, London, 1972

CONFLICTS IN LAND USE

Land Economics/Use,

CONTROL OF AGRICULTURE-- AN EDUCATIONAL PROGRAM

Agribusiness,

Quantum Anti-de Sitter space and sphere at roots of unity

An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined which is covariant under U_q(so(2,D-1)), for q a root of unity. The star-structure is studied in detail. The scalar fields have an intrinsic high-energy cutoff, and arise most naturally as fields on orbifolds AdS_q^D \times S^D/G if D is odd, and AdS_q^D \times S_{\chi}^{2D-1}/G if D is even. Here G is a finite abelian group, and S_{\chi} is a certain ``chiral sector'' of the classical sphere. Hilbert spaces of square integrable functions are discussed. Analogous results are found for the q-deformed sphere S_q^D.Comment: 45 pages, LaTeX, 2 figures using epsf. Slight change in notation allows to obtain AdS^2, AdS^3 as special cases of the general schem

Integration on quantum Euclidean space and sphere in NN dimensions

Invariant integrals of functions and forms over $q$ - deformed Euclidean space and spheres in $N$ dimensions are defined and shown to be positive definite, compatible with the star - structure and to satisfy a cyclic property involving the $D$ - matrix of $SO_q(N)$. The definition is more general than the Gaussian integral known so far. Stokes theorem is proved with and without spherical boundary terms, as well as on the sphere.Comment: 15 pages, Latex, citations and reference added, minor typos correcte