On the $$\mathcal{{U}}_{q}[osp(1|2)]$$ U q [ o s p ( 1 | 2 ) ] Temperley–Lieb Model

ANALYSIS ON THE MINIMAL REPRESENTATION OF O(p, q) – III. ULTRAHYPERBOLIC EQUATIONS ON R p−1,q−1

2 7 O ct 2 00 4 ON THE HEEGAARD FLOER HOMOLOGY OF S 3 − p / q ( K )

Assume that the oriented 3-manifold M = S 3 −p/q (K) is obtained by a rational surgery (with coefficient −p/q < 0) along an algebraic knot K ⊂ S 3. We compute the Heegaard Floer homology of −M in terms of p/q and the Alexander polynomial of K.

OF U ( p , q ) AND Spin 0 ( p , q )

Let p > q and let G be the group U(p, q) or Spin0(p, q). Let P = LN be the maximal parabolic subgroup of G with Levi subgroup L ∼=M × U where (M,U) = { (GLq(C),U(p− q)) if G = U(p, q) (GLq (R),Spin(p− q)) if G = Spin0(p, q). Let χ be a 1 dimensional character of M and τ an irreducible representation of U with highest weight μ. Let πχ,μ be the representation of P which is trivial on N and πχ,μ|L...

Green Function on the q - Symmetric Space SU q ( 2 ) / U ( 1 )

Following the introduction of the invariant distance on the non-commutative C-algebra of the quantum group SUq(2), the Green function and the Kernel on the q-homogeneous space M = SU(2)q/U(1) are derived. A path integration is formulated. Green function for the free massive scalar field on the non-commutative Einstein space R ×M is presented.

On the Q 2 � P 1 Element for Stokes