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arXiv · 2511.17802

Stabilizing Automorphisms of Quantum Affine Space

Ethan Jensen·Anne Shepler
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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.

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Ethan Jensen, Anne Shepler. 2025-11-21. Stabilizing Automorphisms of Quantum Affine Space. https://doi.org/10.1007/s10801-026-01550-7

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