The Algebra of Conjugacy Classes in Symmetric Groups, and Partial Permutations
نویسنده
چکیده
The main purpose of this note is to prove a convolution formula for conjugacy classes in symmetric groups suggested in [7] (formula (2.2), see also [8]). Given a partition ρ ⊢ r of a positive integer r, where r ≤ n, denote by ρ = ρ ∪ (1 n−r) the partition of n obtained from ρ by adding an appropriate number of unities. Let C ρ;n be the sum of permutations w ∈ S n of cycle type ρ. We also define " normalized " classes
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تاریخ انتشار 2003