123, 2143-avoiding Kazhdan-Lusztig immanants and \(k\)-positive matrices (Q2199867)
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| Language | Label | Description | Also known as |
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| English | 123, 2143-avoiding Kazhdan-Lusztig immanants and \(k\)-positive matrices |
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123, 2143-avoiding Kazhdan-Lusztig immanants and \(k\)-positive matrices (English)
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14 September 2020
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The authors are interested in Kazhdan-Lusztig immanants, as defined in [\textit{B. Rhoades} and \textit{M. Skandera}, J. Algebra 304, No. 2, 793--811 (2006; Zbl 1129.15005)]. Immanants are functions defined for square matrices that generalize the notion of determinants. They give conditions on \(v\in S_n\) so that the Kazhdan-Lusztig immanant corresponding to \(v\) is positive on \(k\)-positive matrices.
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immanants
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total positivity
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