sigma10-042. 333KB Jun 04 2011 12:10:39 AM
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The main idea is to consider the Lax pair ( 4 ) as equations for algebraic curves with respect to the unknown variables of the Painlev´e equation.. For the elliptic case,
A generalized hyd- rodynamical Riemann type system is considered, infinite hierarchies of conservation laws, related compatible Poisson structures and a Lax type representation for
Thus, we obtain the explicit description of the Hermitian irreducible representations of the discrete series for the noncompact quantum algebra U q ( u ( n, 1)) by the reduction
substitute to the flat space-time Poincar´e relativity. Quantum elementary systems are then associated to unitary irreducible representations of that simple Lie group. At the
Another consequence of the presence of punctures is that in the moduli space case the underlying ribbon graph needs extra decorations marking possible punctures and one cannot
We describe different versions of quantum Minkowski spacetime algebra; twisted equipped with h -adic topology and covariant with respect to quantized general linear group (Section 3
Give the description of all irreducible configurations (associated with a fixed graph Γ and an arrangement of numbers on its edges) up to a unitary transformation.... We enumerate
The importance of such applications is illustrated in the article [7], in which the authors prove that any irreducible representation of the fundamental group of a Riemann surface
