isHilbertSequence -- whether the given sequence is a Hilbert sequence

Synopsis

• Usage:

  isHilbertSequence(l,E)

• Inputs:
  • l, a list of integers
  • E, an exterior algebra
• Outputs:
  • a Boolean value, true whether the sequence l satisfies the Kruskal-Katona theorem in the exterior algebra E

Description

Example:

i1 : E=QQ[e_1..e_4,SkewCommutative=>true]

o1 = E

o1 : PolynomialRing, 4 skew commutative variables

i2 : isHilbertSequence({1,4,3,1,0},E)

o2 = true

i3 : isHilbertSequence({1,4,3,1,1},E)

o3 = false

See also

• lexIdeal -- compute the lex ideal with a given Hilbert function in an exterior algebra