sigma07-002. 223KB Jun 04 2011 12:09:57 AM
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The double affine Hecke algebra (DAHA) for a reduced root system was defined by Cherednik [2], and the definition was extended to include nonreduced root systems by Sahi [11]..
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials
We study the finite-size corrections of the dimer model on ∞ × N square lattice with two different boundary conditions: free and periodic?. We find that the finite-size
In the context of algebraic Bethe ansatz, we construct the corre- sponding Bethe creation operator for the transfer matrix defined in an arbitrary represen- tation of E τ,η ( so 3
With the help of the Cauchy problem solution we construct a nonlinear evolution operator and the corresponding left inverse operator in explicit form for the nonlinear FPKE.. In
In middle 1990’s Vadim Kuznetsov and Evgeny Sklyanin started to work on applications of the Separation of Variables (SoV) method to symmetric polynomials.. When I read their papers
In Section 4 , devoted to the orthogonal separation, we improve the analysis given in [11] and we show the links between eigenvalues of Killing tensors and proper or
Both algebras are presented by generators and relations, the first has a representation by q -difference operators on the space of symmetric Laurent polynomials in z and the second
