Having a character of a representation $V$ over a finite group in characteristic zero, how to obtain the characters of symmetric or exterior powers of $V$ in GAP?
Characters in GAP
0
$\begingroup$
representation-theory
gap
1 Answers
2
You are searching for he commands SymmetricParts(tbl,characterlist,exponent), respectively AntiSymmetricParts for exterior powers. See the manual
https://www.gap-system.org/Manuals/doc/ref/chap72.html#X85CE68CA87CA383A
for more details. Your character table needs to know suitable power maps.