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The su(n) WZNW fusion ring as integrable model: a new algorithm to compute fusion coefficients
Quantum integrable models Plactic algebra Bethe Ansatz Fusion ring Verlinde algebra Symmetric functions
2011/7/7
This is a proceedings article reviewing a recent combinatorial construction of the su(n) WZNW fusion ring by C. Stroppel and the author. It contains one novel aspect: the explicit derivation of an alg...
A New Algorithm for Determinant Evaluation - The Reduction Method
New Algorithm Determinant Evaluation - The Reduction Method
2011/1/19
We present here a new method for determinant evaluation – the reduction method. Firstly,in the section 2, we apply it to third order determinants and after, in the section 3, we generalize it to highe...
A new algorithm for computing the multivariate Faà di Bruno's formula
multivariate composite function Fa`a di Bruno’s formula multivariate cumulant
2011/3/1
A new algorithm for computing the multivariate Fa`a di Bruno’s formula is provided.We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa`a...