Vasu vineet
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Registered User
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Jun 10 |
awarded | ● Fanatic |
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Apr 27 |
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What does the $q$-Catalan Numbers count? and I don't think there is such a thing as 'the' q-analog |
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Apr 12 |
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distinct odd part partitions and symmetric partitions I 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. |
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Feb 21 |
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Box removing operators on partitions Thank you for the answer. Let me see if I can push the idea here in the general case. |
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Feb 20 |
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Box removing operators on partitions Here is the reference of Fomin-Greene that I am talking about (example 2.6 specifically) math.lsa.umich.edu/~fomin/Papers/ncschur.ps |
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Feb 20 |
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Box removing operators on partitions Thanks 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. |
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Feb 20 |
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Box removing operators on partitions If 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. |
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Feb 20 |
revised |
Box removing operators on partitions added 116 characters in body |
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Feb 20 |
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Box removing operators on partitions Sorry, I should have mentioned that. I will edit the question. Thanks |
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Feb 20 |
asked | Box removing operators on partitions |
