A partition identity
نویسندگان
چکیده
منابع مشابه
On a remarkable partition identity
The starting point of this note is a remarkable partition identity, concerning the parts of the partitions of a fixed natural number and the multiplicities with which these parts occur. This identity is related to the ordinary representation theory of the symmetric group. Our main result is a generalization of this identity, being related to the modular representation theory of the symmetric gr...
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(1.1) Notation. Let Pn denote the set of all partitions of n ∈ N0. For λ ∈ Pn let l(λ) ∈ N0 be its length, i. e. the number of its non-zero parts λ1 ≥ λ2 ≥ . . . ≥ λl(λ) > 0. Furthermore, let s(λ) := n− l(λ) ∈ N0 be its generalized sign, thus we have sgn(λ) = (−1). We also write λ = [11, . . . , nn], where ai(λ) ∈ N0. Let Sn denote the symmetric group on n ∈ N0 letters. For λ ∈ Pn let Cλ ⊆ Sn d...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1983
ISSN: 0012-365X
DOI: 10.1016/0012-365x(83)90129-2