3 papers
math.QA2001
Quantum Anti-de Sitter Space at Roots of Unity
Harold Steinacker
This is a short summary of the paper hep-th/9910037. An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined for q a root of unity, which is covariant under U…
math.QA1999
Unitary Representations of Noncompact Quantum Groups at Roots of Unity
Harold Steinacker
Noncompact forms of the Drinfeld-Jimbo quantum groups U_q(g) with (H_i)* = H_i, (X_i^{+-})* = s_i X_i^{-+} for s_i= +-1 are studied at roots of unity. This covers g = so(n,2p), su(…
q-alg1997
Unitary Representations and BRST Structure of the Quantum Anti--de Sitter Group at Roots of Unity
Harold Steinacker
It is shown that for suitable roots of unity, there exist finite--dimensional unitary representations of corresponding to all classical one-particle representations…