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- W4302971444 abstract "The theory of q-analogs develops many combinatorial formulas for finite vector spaces over a finite field with q elements--all in analogy with formulas for finite sets (which are the special case of q=1). A direct-sum decomposition of a finite vector space is the vector space analogue of a set partition. This paper develops the formulas for the number of direct-sum decompositions that are the q-analogs of the formulas for: (1) the number of set partitions with a given number partition signature; (2) the number of set partitions of an n-element set with m blocks (the Stirling numbers of the second kind); and (3) for the total number of set partitions of an n-element set (the Bell numbers)." @default.
- W4302971444 created "2022-10-07" @default.
- W4302971444 creator A5074435436 @default.
- W4302971444 date "2016-03-22" @default.
- W4302971444 modified "2023-09-25" @default.
- W4302971444 title "The number of direct-sum decompositions of a finite vector space" @default.
- W4302971444 doi "https://doi.org/10.48550/arxiv.1603.07619" @default.
- W4302971444 hasPublicationYear "2016" @default.
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