Abstract:Ribbon decomposition matrices give determinantal formulas for skew Schur functions that include as special cases the classical Jacobi-Trudi, Giambelli, and Lascoux-Pragacz formulas. We prove that certain elements of Lusztig's dual canonical basis, called Temperley-Lieb immanants, are Schur-positive when evaluated on ribbon decomposition matrices. We conjecture that this positivity holds for all elements of the dual canonical basis. This is known in the special case of Jacobi-Trudi matrices by a result of Haiman.
From: Son Nguyen [view email]
[v1]
Wed, 13 May 2026 01:51:55 UTC (45 KB)
[v2]
Mon, 18 May 2026 02:20:58 UTC (45 KB)
[v3]
Sat, 30 May 2026 01:34:27 UTC (41 KB)
[v4]
Wed, 9 Sep 2026 20:52:39 UTC (46 KB)
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