typeB -- Type B reflection arrangement

Synopsis

• Usage:

  typeB(n) or typeB(n,R) or typeB(n,k)

• Inputs:

  • n, an integer, the rank
  • R, a polynomial ring, a polynomial (coordinate) ring in n variables
  • k, a ring, a coefficient ring; by default, QQ
• Outputs:

  • a hyperplane arrangement, the B_n reflection arrangement

Description

i1 : B3 = typeB(3)

o1 = B3

o1 : Hyperplane Arrangement 

i2 : describe B3

o2 = {x , x , x , x  - x , x  + x , x  - x , x  + x , x  - x , x  + x }
       1   2   3   1    2   1    2   1    3   1    3   2    3   2    3

i3 : ring B3

o3 = QQ [x , x , x ]
          1   2   3

o3 : PolynomialRing

See also

• typeA -- Type A reflection arrangement
• typeD -- Type D reflection arrangement