Swansea University

most citedThe Decomposition of Lie Powers

1 citations

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5 papers

math.RT2006

Labelling the character tables of symmetric and alternating groups

Mark Wildon

Let $X$ be a character table of the symmetric group $S_{n}$ . It is shown that unless $n = 4$ or $n = 6$ , there is a unique way to assign partitions of $n$ to the rows and columns of $X…

math.QA2005

The Serre spectral sequence of a noncommutative fibration for de Rham cohomology

EJ Beggs, Tomasz Brzezinski

For differential calculi on noncommutative algebras, we construct a twisted de Rham cohomology using flat connections on modules. This has properties similar, in some respects, to…

math.RT2005

Factorisation of Lie Resolvents

R. M. Bryant, M. Schocker

Let $G$ be a group, $F$ a field of prime characteristic $p$ and $V$ a finite-dimensional $F G$ -module. Let $L (V)$ denote the free Lie algebra on $V$ , regarded as an $F G$ -module, and…

math.RT2005★ 1 cited

The Decomposition of Lie Powers

R. M. Bryant, M. Schocker

Let G be a group, F a field of prime characteristic p and V a finite-dimensional FG-module. Let L(V) denote the free Lie algebra on V regarded as an FG-submodule of the free associ…

math.RA2005

The module structure of the Solomon-Tits algebra of the symmetric group

Manfred Schocker

Let $(W, S)$ be a finite Coxeter system. Tits defined an associative product on the set $Σ$ of simplices of the associated Coxeter complex. The corresponding semigroup algebra is th…