hilbertSequence -- compute the Hilbert sequence of a given ideal in an exterior algebra

Synopsis

Usage:

hilbertSequence I
Inputs:
- I, an ideal of an exterior algebra E
Outputs:
- a list, nonnegative integers representing the Hilbert sequence of the quotient E/I

Given sum{h_i t^i}, i=1..n the Hilbert series of a graded K-algebra E/I, the sequence (1, h_1, ..., h_n) is called the Hilbert sequence of E/I.

Example:

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

o1 = E

o1 : PolynomialRing, 4 skew commutative variable(s)

i2 : hilbertSequence ideal {e_1*e_2,e_2*e_3*e_4}

o2 = {1, 4, 5, 1, 0}

o2 : List

i3 : hilbertSequence ideal {e_2*e_3*e_4}

o3 = {1, 4, 6, 3, 0}

o3 : List