Stabilizing Automorphisms of Quantum Affine Space
arXiv:2511.17802 · doi:10.1007/s10801-026-01550-7
Abstract
We examine the graded automorphism groups of quantum affine spaces and classify these groups for spaces of dimension 7 or less. Using permutation actions on partitions, we investigate cases when the group decomposes as a product of graded automorphism groups of smaller dimensional spaces, and we describe the groups arising from the Kronecker tensor product of independent quantum parameter matrices.
25 pages, comment added, few typos corrected