Constructive proof for the positivity of the orbit polynomial $O_d^{n,2}(q)$

DOI10.11568/kjm.2017.25.3.349zbMath1462.05355OpenAlexW2758108529MaRDI QIDQ5208543

Jaejin Lee

Publication date: 8 January 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/544/373

zbMATH Keywords

orbit\(q\)-binomial coefficientcyclic groupactionorbit polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of representation theory (05E10) Group actions on combinatorial structures (05E18)

Cites Work

• Unnamed Item
• Conjectures on the quotient ring by diagonal invariants
• Some hidden relations involving the ten symmetry classes of plane partitions
• The cyclic sieving phenomenon
• The cyclic sieving phenomenon: a survey
• Sieved Partition Functions and q-Binomial Coefficients
• On the orbits of Singer groups and their subgroups

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