On automorphisms of tame polynomial automorphism Ind-Schemes in positive characteristic

In this paper we study certain combinatorial attributes of (Formula presented.) -schemes of polynomial automorphisms in positive characteristic. In particular, we prove that over an algebraically closed field K of positive characteristic (Formula presented.) every automorphism of the group of origin-preserving automorphisms of the polynomial algebra (Formula presented.) ((Formula presented.)), which fixes every diagonal matrix, preserves, up to composition with a linear inner automorphism, every tame automorphism.