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JCT
2011
13 years 5 months ago
2011
The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product ...
JCT
2000
13 years 10 months ago
2000
A partial order on Z obtained by taking the transitive closure of a random relation {i < j and there is an edge ij} is studied. Randomness stems from postulating that an edge ij...
JCT
2007
13 years 10 months ago
2007
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
JCT
2000
13 years 10 months ago
2000
Givena Hermitian,non-negativede nitekernelK and a character of the symmetric group on n letters, de ne the corresponding immanant function K x1;::: ;xn := P Qn i=1 Kxi;x i, where ...
JCT
2011
13 years 5 months ago
2011
The Baxter number Bn can be written as Bn = n k=0 Θk,n−k−1 with Θk,ℓ = 2 (k + 1)2 (k + 2) k + ℓ k k + ℓ + 1 k k + ℓ + 2 k . These numbers have first appeared in the...