A combinatorial proof of a relationship between maximal \((2k-1,2k+1)\)-cores and \((2k-1,2k,2k+1)\)-cores
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Publication:907265
zbMath1329.05024arXiv1506.06186MaRDI QIDQ907265
Publication date: 25 January 2016
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06186
Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Symmetric groups (20B30)
Related Items (10)
On the polynomiality and asymptotics of moments of sizes for random \((n,dn\pm 1)\)-core partitions with distinct parts ⋮ Proof of a conjecture of Nath and Sellers on simultaneous core partitions ⋮ On the largest sizes of \((s, qs \pm 1)\)-core partitions with parts of the same parity ⋮ The \((s,s+d,\ldots,s+pd)\)-core partitions and rational Motzkin paths ⋮ The \((s,s+d,\dots,s+pd)\)-core partitions and the rational Motzkin paths ⋮ Abaci structures of \((s, ms\pm1)\)-core partitions ⋮ On the largest sizes of certain simultaneous core partitions with distinct parts ⋮ Core partitions with distinct parts ⋮ Core Partitions With d-Distinct Parts ⋮ Self-conjugate \((s,s+d,\dots ,s+pd)\)-core partitions and free Motzkin paths
Cites Work
- On the largest size of \((t, t + 1, \ldots, t + p)\)-core partitions
- The \(t\)-core of an \(s\)-core
- Multi-cores, posets, and lattice paths
- On simultaneous \(s\)-cores/\(t\)-cores
- Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
- When does the set of \((a, b, c)\)-core partitions have a unique maximal element?
- On the enumeration of \((s, s + 1, s + 2)\)-core partitions
- Block inclusions and cores of partitions.
- Symmetry in maximal $(s-1,s+1)$ cores
- Partitions with prescribed hooksets
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