\(k\)-positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants
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Publication:2695963
DOI10.5802/alco.257OpenAlexW3167179747MaRDI QIDQ2695963
Sunita Chepuri, Melissa U. Sherman-Bennett
Publication date: 5 April 2023
Published in: Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.09150
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of representation theory (05E10) Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30)
Cites Work
- Unnamed Item
- Kazhdan-Lusztig immanants and products of matrix minors
- Immanants of combinatorial matrices
- Proof of a conjecture on immanants of the Jacobi-Trudi matrix
- Parametrizations of \(k\)-nonnegative matrices: cluster algebras and \(k\)-positivity tests
- Bruhat intervals as rooks on skew Ferrers boards
- On the dual canonical and Kazhdan-Lusztig bases and 3412-, 4231-avoiding permutations
- Factorizations of \(k\)-nonnegative matrices
- Combinatorics of Coxeter Groups
- Immanants of Totally Positive Matrices are Nonnegative
- Some Conjectures for Immanants
- Canonical Bases for Irreducible Representations of Quantum Gl N
- Totally nonnegative and oscillatory elements in semisimple groups
- Sign non‐reversal property for totally non‐negative and totally positive matrices, and testing total positivity of their interval hull
- Hecke Algebra Characters and Immanant Conjectures
- 1324- and 2143-avoiding Kazhdan–Lusztig immanants and k-positivity
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