I have a rather simple question that i, unfortunately, could not find
in the manual. I am trying to compute the Molien series of finite
groups under different representations. Dr. Adler's post to the forum
was quite helpfull, but i'm affraid i do not know how to access specific
representaions of a group with it's CharacterTable.
For example: gap> t:=CharacterTable(PSL(2,5)); CharacterTable( Group([ (3,5)(4,6), (1,2,5)(3,4,6) ]) ) gap> Display(t); CT1
2 2 2 . . . 3 1 . . . 1 5 1 . 1 1 .1a 2a 5a 5b 3a 2P 1a 1a 5b 5a 3a 3P 1a 2a 5b 5a 1a 5P 1a 2a 1a 1a 3a
X.1 1 1 1 1 1 X.2 3 -1 A *A . X.3 3 -1 *A A . X.4 4 . -1 -1 1 X.5 5 1 . . -1
How would i go about obtaining the Molien series of the _second_
three-dimentional representation, labeled 'X.3'? In general, how do i
reference specific representaions presented in a CharacterTable?
Also, what about reducable representaions? Any idea how to direct sum
the Irreducable representations given in the tabe to form arbitrary
Thanks much for entertaing my elementary questions,