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# Vasu vineet

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## Registered User

 Name Vasu vineet Member for 2 years Seen 1 hour ago Website Location UBC, Vancouver, BC Age 27
 Jun10 awarded ● Fanatic Apr27 comment What does the $q$-Catalan Numbers count?and I don't think there is such a thing as 'the' q-analog Apr12 comment distinct odd part partitions and symmetric partitionsI imagine this might get closed. But here's a hint to get you started anyway: every part of odd length can be 'bent' into a hook shape that is symmetric. Feb21 comment Box removing operators on partitionsThank you for the answer. Let me see if I can push the idea here in the general case. Feb20 comment Box removing operators on partitionsHere is the reference of Fomin-Greene that I am talking about (example 2.6 specifically) math.lsa.umich.edu/~fomin/Papers/ncschur.ps Feb20 comment Box removing operators on partitionsThanks for the answer and the link to Garsia's paper. But I do believe there is a lot more going on here than the case you mention, and I disagree that these are the Coxeter-Knuth relations. I checked a paper of Fomin's that defines the adjoint of the operators that I am considering, calling them Schur operators (or box adding operators if you will). He further goes on to say that the complete list of relations between the Schur operators is not known. Feb20 comment Box removing operators on partitionsIf you check the relations that I gave, then they already list some words that are equivalent. For example, $d_1d_3$ and $d_3d_1$ are equivalent words because either both act on a partition to give $0$ or the same partition. Hope this clarifies. Feb20 revised Box removing operators on partitionsadded 116 characters in body Feb20 comment Box removing operators on partitionsSorry, I should have mentioned that. I will edit the question. Thanks Feb20 asked Box removing operators on partitions