Kazhdan-Lusztig immanants and products of matrix minors

DOI10.1016/j.jalgebra.2005.07.017zbMath1129.15005OpenAlexW2110907679MaRDI QIDQ855336

Brendon Rhoades, Mark Skandera

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.07.017

zbMATH Keywords

determinanttotally nonnegative matricesHecke algebraKazhdan-Lusztig basistotal nonnegativityimmanantsJacobi-Trudi matricesSchur nonnegativity

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Determinants, permanents, traces, other special matrix functions (15A15) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

1324- and 2143-avoiding Kazhdan–Lusztig immanants and k-positivity ⋮ Positivity among \(P\)-partition generating functions ⋮ Relations between the Clausen and Kazhdan-Lusztig representations of the symmetric group. ⋮ Cyclic sieving and plethysm coefficients ⋮ Converting immanants on singular symmetric matrices ⋮ 123, 2143-avoiding Kazhdan-Lusztig immanants and \(k\)-positive matrices ⋮ \(k\)-positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants ⋮ Quantum affine algebras and Grassmannians ⋮ Cyclic sieving for plane partitions and symmetry ⋮ Bitableaux and zero sets of dual canonical basis elements ⋮ Temperley-Lieb Pfaffinants and Schur \(Q\)-positivity conjectures ⋮ On the dual canonical and Kazhdan-Lusztig bases and 3412-, 4231-avoiding permutations ⋮ Cyclic sieving, promotion, and representation theory ⋮ \(A_{2}\)-web immanants ⋮ Kazhdan–Lusztig immanants and products of matrix minors, II ⋮ Newell-Littlewood numbers

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