Kronecker coefficients via Symmetric Functions and Constant Term Identities

Kronecker coefficients via Symmetric Functions and Constant Term Identities
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DOI:
10.1142/s0218196712500221
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发表时间:
2012-05
期刊:
Int. J. Algebra Comput.
影响因子:
--
通讯作者:
A. Garsia;N. Wallach;G. Xin;M. Zabrocki
A. Garsia;N. Wallach;G. Xin;M. Zabrocki
中科院分区:
其他
文献类型:
--
作者:
A. Garsia;N. Wallach;G. Xin;M. Zabrocki

文献摘要

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这项工作涉及三个调查领域,这些领域本身具有独立的利益。量子计算中出现的一个问题使我们找到了将这些领域联系在一起的联系。这种联系导致计算的一些克罗内克系数计算常数项和相反的计算某些常数项计算克罗内克系数的对称函数的方法。这导致的结果以及解决这些不同领域的数值问题的方法。
This work lies across three areas of investigation that are by themselves of independent interest. A problem that arose in quantum computing led us to a link that tied these areas together. This link led to the calculation of some Kronecker coefficients by computing constant terms and conversely the computations of certain constant terms by computing Kronecker coefficients by symmetric function methods. This led to results as well as methods for solving numerical problems in each of these separate areas.