Regular sequences of symmetric polynomials

Details Regular sequences of symmetric polynomials Regular sequences of symmetric polynomials

2008-01-17

arxiv.org/abs/0801.2662v2

Rend. Sem. Mat. Univ. Padova 121 (2009), 179-199.

Mathematics

Commutative Algebra

Minors changes, references added, to appear in Rendiconti del Seminario Matematico della Universita' di Padova

Scientific paper

Denote by p_k the k-th power sum symmetric polynomial n variables. The interpretation of the q-analogue of the binomial coefficient as Hilbert function leads us to discover that n consecutive power sums in n variables form a regular sequence. We consider then the following problem: describe the subsets n powersums forming a regular sequence. A necessary condition is that n! divides the product of the degrees of the elements. To find an easily verifiable sufficient condition turns out to be surprisingly difficult already in 3 variables. Given positive integers a

Affiliated with

Also associated with

No associations

Rating

Regular sequences of symmetric polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Regular sequences of symmetric polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regular sequences of symmetric polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393075