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math.RA2005
The module structure of the Solomon-Tits algebra of the symmetric group
Manfred Schocker
Let be a finite Coxeter system. Tits defined an associative product on the set of simplices of the associated Coxeter complex. The corresponding semigroup algebra is th…
math.RA2002★ 3 cited
The peak algebra of the symmetric group revisited
Manfred Schocker
The linear span P_n of the sums of all permutations in the symmetric group S_n with a given set of peaks is a sub-algebra of the symmetric group algebra, due to Nyman. This peak al…
math.RA2002
Lie Elements and Knuth Relations
Manfred Schocker
A coplactic class in the symmetric group S_n consists of all permutations in S_n with a given Schensted Q-symbol, and may be described in terms of local relations introduced by Knu…