Obstructions to Combinatorial Formulas for Plethysm

Cite This

Files in this item

Checksum: MD5:5377c43b4b4119096af867d29114b7ee

KAHLE, Thomas, Mateusz MICHALEK, 2018. Obstructions to Combinatorial Formulas for Plethysm. In: The Electronic Journal of Combinatorics. International Press. 25(1), P1.41. ISSN 1097-1440. eISSN 1077-8926. Available under: doi: 10.37236/6597

@article{Kahle2018Obstr-53572, title={Obstructions to Combinatorial Formulas for Plethysm}, year={2018}, doi={10.37236/6597}, number={1}, volume={25}, issn={1097-1440}, journal={The Electronic Journal of Combinatorics}, author={Kahle, Thomas and Michalek, Mateusz}, note={Article Number: P1.41} }

Kahle, Thomas 2021-04-30T13:29:27Z 2021-04-30T13:29:27Z Michalek, Mateusz 2018 Motivated by questions of Mulmuley and Stanley we investigate quasi-polynomials arising in formulas for plethysm. We demonstrate, on the examples of S<sup>3</sup>(S<sup>k</sup>) and S<sup>k</sup>(S<sup>3</sup>), that these need not be counting functions of inhomogeneous polytopes of dimension equal to the degree of the quasi-polynomial. It follows that these functions are not, in general, counting functions of lattice points in any scaled convex bodies, even when restricted to single rays. Our results also apply to special rectangular Kronecker coefficients. Michalek, Mateusz Obstructions to Combinatorial Formulas for Plethysm eng terms-of-use Kahle, Thomas

Downloads since Apr 30, 2021 (Information about access statistics)

Kahle_2-uc3bgau0qi5e3.pdf 12

This item appears in the following Collection(s)

Search KOPS


Browse

My Account