Products of symmetric group characters
Products of symmetric group characters
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DOI：
10.1016/j.jcta.2019.02.019
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发表时间：
2019-07
期刊：
影响因子：
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通讯作者：
R. Orellana;M. Zabrocki
中科院分区：
文献类型：
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作者：
R. Orellana;M. Zabrocki
在[33]中，作者引入了对称函数环的一个新基，该环的值等于对称群在单位根处的不可约特征。这种新基的结构系数是稳定的克罗内克系数。本文给出了几种产品的组合描述。此外，我们还确定了一些应用和实例，其中这些产品的特殊情况已经发生在数学文献的其他地方。
In [33], the authors introduced a new basis of the ring of symmetric functions which evaluate to the irreducible characters of the symmetric group at roots of unity. The structure coefficients for this new basis are the stable Kronecker coefficients. In this paper we give combinatorial descriptions for several products. In addition, we identify some applications and instances where special cases of these products have occurred elsewhere in the mathematical literature.