A. Regev
Published 2002-10-14Version 1
A class of associative (super) algebras is presented, which naturally generalize both the symmetric algebra $Sym(V)$ and the wedge algebra $\wedge (V)$, where $V$ is a vector-space. These algebras are in a bijection with those subsets of the set of the partitions which are closed under inclusions of partitions. We study the rate of growth of these algebras, then characterize the case where these algebras satisfy polynomial identities.
On the Intriguing Problem of Counting (n+1,n+2)-Core Partitions into Odd Parts
Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity
On partitions with $k$ corners not containing the staircase with one more corner
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