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Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach
Quantum-to-Classical Correspondence Hubbard-Stratonovich Dynamical Systems
2011/3/2
We propose a Lie-algebraic duality approach to analyze non-equilibrium evolution of closed dynamical systems and thermodynamics of interacting quantum lattice models (formulated in terms of Hubbard-St...
A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
Lie algebraic Ricci flow invariant curvature conditions Harnack inequalities
2010/11/22
We consider a subset $S$ of the complex Lie algebra $\so(n,\C)$ and the cone $C(S)$ of curvature operators which are nonnegative on $S$. We show that $C(S)$ defines a Ricci flow invariant curvature co...
Askey-Wilson polynomials: an affine Hecke algebraic approach
Askey-Wilson polynomials affine Hecke algebraic approach
2010/10/29
We study Askey-Wilson type polynomials using representation theory of the double affine Hecke algebra. In particular, we prove bi-orthogonality relations for non-symmetric and anti-symmetric Askey-Wi...