Quasiinvariants of S3

Jason Bandlow, Gregg Musiker

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Let sij represent a transposition in Sn. A polynomial P in ℚ[Xn] is said to be m-quasiinvariant with respect to Sn if (χi - χj) 2m+1 divides (1 - sij) P for all 1 ≤ i, j ≤ n. We call the ring of m-quasiinvariants, QIm[Xn]. We describe a method for constructing a basis for the quotient QIm[X3]/(e1, e2, e3). This leads to the evaluation of certain binomial determinants that are interesting in their own right.

Original languageEnglish (US)
Pages (from-to)281-298
Number of pages18
JournalJournal of Combinatorial Theory. Series A
Issue number2
StatePublished - Feb 2005


  • Binomial coefficients
  • Determinant evaluations
  • Non-intersecting lattice paths
  • Symmetric functions
  • Symmetric group
  • m-quasiinvariants

Fingerprint Dive into the research topics of 'Quasiinvariants of S<sub>3</sub>'. Together they form a unique fingerprint.

Cite this