张量分解代数的Frobenius-Schreier-Sims算法
A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras
摘要:
引入了结合代数到循环模的张量积的分解。这产生了一种用对数信息编码基的方法,从而扩展了大型代数的计算范围。我们的技术是一个模拟的Schreier-Sims算法的置换群,是一个副产品的Frobenius互惠。
英文摘要:
We introduce a decomposition of associative algebras into a tensor product of cyclic modules. This produces a means to encode a basis with logarithmic information and thus extends the reach of calculation with large algebras. Our technique is an analogue to the Schreier-Sims algorithm for permutation groups and is a by-product of Frobenius reciprocity.
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