ar X iv : m at h - ph / 0 30 10 01 v 1 3 J an 2 00 3 Symplectic Schemes for Birkhoffian system

ar X iv : m at h - ph / 0 10 30 34 v 1 2 5 M ar 2 00 1 MZ - TH 01 - 09 LPT - ORSAY 01 - 28 MULTIPLE NONCOMMUTATIVE TORI

We derive the Kac-Paljutkin finite-dimensional Hopf algebras as finite fibrations of the quantum double torus and generalize the construction for quantum multiple tori.

ar X iv : m at h - ph / 0 31 10 01 v 4 3 N ov 2 00 4 Clifford Valued Differential Forms , Algebraic Spinor Fields

ar X iv : m at h - ph / 0 30 70 15 v 1 8 J ul 2 00 3 Integrable geodesic flows on Riemannian manifolds : Construction and Obstructions ∗ Alexey

This paper is a review of recent and classical results on integrable geodesic flows on Riemannian manifolds and topological obstructions to integrability. We also discuss some open problems.

ar X iv : m at h - ph / 0 30 60 23 v 1 9 J un 2 00 3 Non - Archimedean Geometry and Physics on

This is a brief review article of various applications of non-Archimedean geometry, p-adic numbers and adeles in modern mathematical physics.

ar X iv : m at h - ph / 0 30 30 45 v 1 1 9 M ar 2 00 3 p – Adic pseudodifferential operators and p – adic wavelets

We introduce a new wide class of p–adic pseudodifferential operators. We show that the basis of p–adic wavelets is the basis of eigenvectors for the introduced operators.