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arXiv 1812.03346math.RAmath.GRmath.RT
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张量分解代数的Frobenius-Schreier-Sims算法

A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras

Ian Holm Kessler, Henry Kvinge, James B. Wilson

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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