Hyperdeterminantal expressions for Jack functions of rectangular shapes

Details Hyperdeterminantal expressions for Jack functions of rectangular shapes Hyperdeterminantal expressions for Jack functions of rectangular shapes

2006-03-02

arxiv.org/abs/math/0603033v4

Journal of Algebra 320 (2008) 612--632

Mathematics

Combinatorics

18 pages. The title of 3rd version is ''Hyperdeterminant expressions ...''. The title of 1st and 2nd versions was ``Summation

Scientific paper

We derive a Jacobi-Trudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley's simple generalization of the determinant. In addition, after developing the general theory of hyperdeterminants, we give summation formulae for Schur functions involving hyperdeterminants, and evaluate Toeplitz-type hyperdeterminants by using Jack function theory.

Affiliated with

Also associated with

No associations

Rating

Hyperdeterminantal expressions for Jack functions of rectangular shapes 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 Hyperdeterminantal expressions for Jack functions of rectangular shapes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperdeterminantal expressions for Jack functions of rectangular shapes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369362