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Search: MSC category 05A99 ( None of the above, but in this section )

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1. CMB 2010 (vol 53 pp. 453)

Desgroseilliers, Marc; Larose, Benoit; Malvenuto, Claudia; Vincent, Christelle
 Some Results on Two Conjectures of Schützenberger We present some partial results concerning two conjectures of SchÃ¼tzenberger on evacuations of Young tableaux. Keywords:Evacuation of Standard Young tableauxCategories:05E10, 05A99

2. CMB 2005 (vol 48 pp. 445)

Patras, Frédéric; Reutenauer, Christophe; Schocker, Manfred
 On the Garsia Lie Idempotent The orthogonal projection of the free associative algebra onto the free Lie algebra is afforded by an idempotent in the rational group algebra of the symmetric group $S_n$, in each homogenous degree $n$. We give various characterizations of this Lie idempotent and show that it is uniquely determined by a certain unit in the group algebra of $S_{n-1}$. The inverse of this unit, or, equivalently, the Gram matrix of the orthogonal projection, is described explicitly. We also show that the Garsia Lie idempotent is not constant on descent classes (in fact, not even on coplactic classes) in $S_n$. Categories:17B01, 05A99, 16S30, 17B60
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