

last edited 16 years ago 
1  
Editor: 127.0.0.1
Time: 2007/11/10 00:22:47 GMT8 

Note: 
changed:  Calculations in character Hopf algebras using SCHUR and Maple Symmetric functions provide a tool for computations in invariant theory and especially for group characters. Recently, developments in Hopf algebra have pushed forward these technologies to cope with a wide class of subgroups of $GL(n)$. To be able to provide examples computer algebra computations are inevitable due to the inherent combinatorial complexity of the problem. We describe how "SCHUR (B.G. Wybourne et al.)":http://smc.vnet.net/Schur.html was used to compute characters of nonsemisimple groups and what its benefits and deficiencies are. Furthermore we discuss the Maple package "SchurFkt (R. Ablamowicz, B. Fauser)":http://clifford.physik.unikonstanz.de/~fauser/pg/CA.shtml#schurfkt which was designed to provide a proofofconcept approach for new algorithms. Problems with data structures, efficiency etc. will be addressed.
Symmetric functions provide a tool for computations in invariant theory and especially for group characters. Recently, developments in Hopf algebra have pushed forward these technologies to cope with a wide class of subgroups of . To be able to provide examples computer algebra computations are inevitable due to the inherent combinatorial complexity of the problem. We describe how SCHUR (B.G. Wybourne et al.) was used to compute characters of nonsemisimple groups and what its benefits and deficiencies are. Furthermore we discuss the Maple package SchurFkt? (R. Ablamowicz, B. Fauser) which was designed to provide a proofofconcept approach for new algorithms. Problems with data structures, efficiency etc. will be addressed.