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Classical q-Numbers: A Study of the Case q = -1: Algebraic and Combinatorial Approaches

Mark Shattuck




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 |  2010-02-07 | Original language:English | PDF # 1 |  8.66 x.20 x5.91l,.31 | File type: PDF | 88 pages

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Several of the classical sequences in enumerative combinatorics have q-generalizations arising as generating functions for statistics defined on finite discrete structures. When q = 1, these generating functions reduce to the original sequences. When q = -1, on the other hand, one gets the difference in cardinalities between those members of a set having an even value for some statistic (on the set) with those members having an odd value. The current text pro...

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