The paper proves q-analogues of long-cycle factorization generating functions in the Hecke algebra, with q-Catalan, q-Narayana, and q-binomial specializations.
Bijections and symmetries for the factorizations of the long cycle
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Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements
The paper proves q-analogues of long-cycle factorization generating functions in the Hecke algebra, with q-Catalan, q-Narayana, and q-binomial specializations.