1. (100%) Summation and transformation formulas for elliptic hypergeometric series - Warnaar, S. O.
Using matrix inversion and determinant evaluation techniques we prove several summation and transfor ...
- 26-mar-2007

2. (100%) The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra - Chakrabarti, A.; Chakrabarti, R.
condition, and leads to the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra. The corresponding universal ...)) algebra. For a class of representations, the dynamical Yang-Baxter equation may be expressed as
- 25-feb-2007

3. (100%) A Galois correspondence for II_1 factors and quantum groupoids - Nikshych, Dmitri; Vainerman, Leonid
We establish a Galois correspondence for finite quantum groupoid actions on II_1 factors and show that every finite index and finite depth subfactor is an intermediate subalgebra of a quantum
- 26-mar-2007

4. (100%) Topology Change and Vector Modules on Noncommutative Surfaces of Rotation - Gratus, J.
A non associative, noncommutative algebra is defined that may be interpreted as a set of vector ... limit. The representation of this algebra is used to investigate a simple topology change where two
- 26-mar-2007

5. (100%) Some Generalized Kac-Moody Algebras With Known Root Multiplicities - Niemann, Peter
Starting from Borcherds' fake monster Lie algebra we construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described
- 26-mar-2007

6. (100%) Askey-Wilson polynomials: an affine Hecke algebraic approach - Noumi, Masatoshi; Stokman, Jasper V.
algebra. In particular, we prove bi-orthogonality relations for non-symmetric and anti-symmetric Askey ...-Wilson transform under the action of the double affine Hecke algebra. We evaluate the constant term
- 26-mar-2007

7. (100%) On the Quasi-Hopf structure of deformed double Yangians - Arnaudon, D.; Avan, J.; Frappat, L.; Ragoucy, E.; Rossi, M.
We construct universal twists connecting the centrally extended double Yangian DY(sl(2))_c with defo ...
- 30-mar-2007

8. (100%) Elements of a Global Operator Approach to Wess-Zumino-Novikov-Witten Models - Schlichenmaier, Martin
on the results. The approach is based on the multi-point Krichever-Novikov algebras of global meromorphic functions and vector fields, and the global algebras of affine type and their representations
- 25-feb-2007

9. (100%) Quantum Co-Adjoint Orbits of the Real Diamond Group - Hai, Nguyen Viet
We present explicit formulas for deformation quantization on the co-adjoint orbits of the real diamond Lie group. From this we obtain quantum half-plans, quantum hyperbolic cylinders, quantum
- 26-mar-2007

10. (100%) Free Field Construction for the ABF Models in Regime II - Jimbo, M.; Konno, H.; Odake, S.; Pugai, Y.; Shiraishi, J.
The Wakimoto construction for the quantum affine algebra U_q(\hat{sl}_2) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field realization of the
- 26-mar-2007

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