AbstractThe 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 group
We present various results on multiplying cycles in the symmetric group. One result is a generalisat...
AbstractMany properties of symmetric functions are related to properties of the set of partitions, a...
AbstractRecurrences for irreducible and Kostka characters of the symmetric group are derived here in...
AbstractTwo proofs are given, one combinatorial, the other by character theory, for the identity, ∏λ...
Combinatorics is the art of counting, how many such objects are there. Algebra deals with how object...
For primes $\ell$ and nonnegative integers $a$, we study the partition functions $$p_\ell(a;n):= \#\...
The irreducible characters χλ of the symmetric group Sn are indexed by partitions λ of n (denoted λ ...
AbstractThe relationships between the values taken by ordinary characters of symmetric groups are ex...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1973.Vita.Bibliography...
AbstractThe purpose of this paper is to study the combinatorial and enumerative properties of a new ...
Nine (= 2 x 2 x 2 + 1) product identities for certain one-variable generating functions of certain f...
Nine (= 2 x 2 x 2 + 1) product identities for certain one-variable generating functions of certain f...
Nine (= 2 x 2 x 2 + 1) product identities for certain one-variable generating functions of certain f...
Andrews and Olsson [2] have recently proved a general partition identity a special case of which pro...
AbstractA simple combinatorial argument, based upon the graphic representation of partitions, leads ...
We present various results on multiplying cycles in the symmetric group. One result is a generalisat...
AbstractMany properties of symmetric functions are related to properties of the set of partitions, a...
AbstractRecurrences for irreducible and Kostka characters of the symmetric group are derived here in...
AbstractTwo proofs are given, one combinatorial, the other by character theory, for the identity, ∏λ...
Combinatorics is the art of counting, how many such objects are there. Algebra deals with how object...
For primes $\ell$ and nonnegative integers $a$, we study the partition functions $$p_\ell(a;n):= \#\...
The irreducible characters χλ of the symmetric group Sn are indexed by partitions λ of n (denoted λ ...
AbstractThe relationships between the values taken by ordinary characters of symmetric groups are ex...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1973.Vita.Bibliography...
AbstractThe purpose of this paper is to study the combinatorial and enumerative properties of a new ...
Nine (= 2 x 2 x 2 + 1) product identities for certain one-variable generating functions of certain f...
Nine (= 2 x 2 x 2 + 1) product identities for certain one-variable generating functions of certain f...
Nine (= 2 x 2 x 2 + 1) product identities for certain one-variable generating functions of certain f...
Andrews and Olsson [2] have recently proved a general partition identity a special case of which pro...
AbstractA simple combinatorial argument, based upon the graphic representation of partitions, leads ...
We present various results on multiplying cycles in the symmetric group. One result is a generalisat...
AbstractMany properties of symmetric functions are related to properties of the set of partitions, a...
AbstractRecurrences for irreducible and Kostka characters of the symmetric group are derived here in...
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