Descent sets for symplectic groups
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Publication:402938
DOI10.1007/s10801-013-0483-4zbMath1297.05252arXiv1303.5850OpenAlexW1978311250MaRDI QIDQ402938
Bruce W. Westbury, Bruce E. Sagan, Martin Rubey
Publication date: 29 August 2014
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.5850
representationssymmetric functionsYoung tableauquasisymmetric functionsdescent setgrowth diagramoscillating tableauxFrobenius characterquasisymmetric expansion
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Related Items (4)
The co-Pieri rule for stable Kronecker coefficients ⋮ A Sundaram type bijection for \(\mathrm{SO}(3)\): vacillating tableaux and pairs of standard Young tableaux and orthogonal Littlewood-Richardson tableaux ⋮ A Sundaram type bijection for \(\mathrm{SO}(2k+1)\): vacillating tableaux and pairs consisting of a standard Young tableau and an orthogonal Littlewood-Richardson tableau ⋮ The lattice permutation condition for Kronecker tableaux
Cites Work
- From Macdonald polynomials to a charge statistic beyond type \(A\)
- Invariant tensors and the cyclic sieving phenomenon
- Orthogonal tableaux and an insertion algorithm for \(SO(2n+1)\)
- A Schensted-type correspondence for the symplectic group
- A Robinson-Schensted-type algorithm for \(SO(2n,\mathbb{C})\)
- Duality of graded graphs
- Schensted algorithms for dual graded graphs
- Crystal energy functions via the charge in types \(A\) and \(C\)
- Crossings and nestings of matchings and partitions
- Quelques remarques sur une Construction de Schensted.
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