R. Bryant

activity

20052013

most citedAdams operations on the Green ring of a cyclic group of prime-power order

3 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

math.RT2013

Vertices of Lie Modules

Roger M. Bryant, Susanne Danz, Karin Erdmann +1

Let Lie(n) be the Lie module of the symmetric group S_n over a field F of characteristic p>0, that is, Lie(n) is the left ideal of FS_n generated by the Dynkin-Specht-Wever element…

math.RT2010

Asymptotic behaviour of Lie powers and Lie modules

Roger M. Bryant, Kay Jin Lim, Kai Meng Tan

Let $V$ be a finite-dimensional $F G$ -module, where $F$ is a field of prime characteristic $p$ and $G$ is a group. We show that, when $r$ is not a power of $p$ , the Lie power $L^r(V…

math.RT2009★ 1 cited

Periodicity of Adams operations on the Green ring of a finite group

R. M. Bryant, Marianne Johnson

The Adams operations $ψ_{Λ}^{n}$ and $ψ_{S}^{n}$ on the Green ring of a group $G$ over a field $K$ provide a framework for the study of the exterior powers and symmetric powers of $K G$ -mod…

math.RT2009★ 3 cited

Adams operations on the Green ring of a cyclic group of prime-power order

R. M. Bryant, Marianne Johnson

We consider the Green ring $R_{K C}$ for a cyclic $p$ -group $C$ over a field $K$ of prime characteristic $p$ and determine the Adams operations $ψ^{n}$ in the case where $n$ is not di…

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…