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minus(Character) -- additive inverse of a character

Description

Additive inverse of a character.

i1 : R = QQ[x,y,z]

o1 = R

o1 : PolynomialRing
i2 : I = (ideal vars R)^3

             3   2    2      2            2   3   2      2   3
o2 = ideal (x , x y, x z, x*y , x*y*z, x*z , y , y z, y*z , z )

o2 : Ideal of R
i3 : S3 = symmetricGroupActors R

o3 = {| y z x |, | y x z |, | x y z |}

o3 : List
i4 : A = action(I,S3)

o4 = Ideal with 3 actors

o4 : ActionOnGradedModule
i5 : c = character(A,0,10)

o5 = Character over QQ
      
      (0, {3})  |  1  2  10
      (0, {4})  |  0  3  15
      (0, {5})  |  0  3  21
      (0, {6})  |  1  4  28
      (0, {7})  |  0  4  36
      (0, {8})  |  0  5  45
      (0, {9})  |  1  5  55
     (0, {10})  |  0  6  66

o5 : Character
i6 : -c

o6 = Character over QQ
      
      (0, {3})  |  -1  -2  -10
      (0, {4})  |   0  -3  -15
      (0, {5})  |   0  -3  -21
      (0, {6})  |  -1  -4  -28
      (0, {7})  |   0  -4  -36
      (0, {8})  |   0  -5  -45
      (0, {9})  |  -1  -5  -55
     (0, {10})  |   0  -6  -66

o6 : Character

Ways to use this method:


The source of this document is in /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/BettiCharacters.m2:3859:0.