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A New Algorithm to Compute the Square Roots of r -circulant Matrices
r-circulant matrices primary square root reduced form Schur decomposition
2012/9/24
A simplified form of r-circulant matrices is investigated , and a new algorithm to compute the square roots of r -circulant matrices is obtained using the properties of r -circulant matrices. In st...
An Algorithm to Generate Square-Free Numbers and to Compute the Moebius Function
Mobius function square-free numbers zeta function Riemann hypothesis
2011/9/19
Abstract: We introduce an algorithm that iteratively produces a sequence of natural numbers k_i and functions b_i. The number k_(i+1) arises as the first point of discontinuity of b_i above k_i. We de...
An effective method to compute closure ordering for nilpotent orbits of $θ$-representations
compute closure nilpotent orbits of $θ$-representations Algebraic Geometry
2011/8/31
Abstract: We develop an algorithm for computing the closure of a given nilpotent $G_0$-orbit in $\g_1$, where $\g_1$ and $G_0$ are coming from a $\Z$ or a $\Z/m\Z$-grading $\g= \bigoplus \g_i$ of a si...
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...
Using Hook Schur Functions to Compute Matrix Cocharacters
Using Hook Schur Functions Compute Matrix Cocharacters
2010/11/12
We use hook Schur functions to compute trace cocharacters of matrices in hooks. As an example we compute the cocharacters of 3 x 3 matrices in the one by two hook