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A New Expression of the q-Stirling Numbers Cai, Yue
Description
Stirling numbers of the second kind $S(n,k)$ enumerate the number of set partitions of $n$ elements into k disjoint blocks. We give a compact expression for the $q$-Stirling numbers as a $q$-$(1+q)$-analogue. We show there is a poset explanation for this phenomenon as well as a homological interpretation. This is joint work with Margaret Readdy.
Item Metadata
Title |
A New Expression of the q-Stirling Numbers
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-16T10:19
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Description |
Stirling numbers of the second kind $S(n,k)$ enumerate the number of set partitions of $n$ elements into k disjoint blocks. We give a compact expression for the $q$-Stirling numbers as a $q$-$(1+q)$-analogue. We show there is a poset explanation for this phenomenon as well as a homological interpretation.
This is joint work with Margaret Readdy.
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Extent |
20 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Texas A&M University
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Series | |
Date Available |
2017-11-13
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0357933
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International