Graded automorphisms of quantum affine spaces

This paper computes the graded automorphism group of quantum affine spaces. Specifically, we determine that this group is isomorphic to a semi-direct product of a blocked diagonal matrix group and a permutation group.

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2024-11-13
DOI
https://doi.org/10.1090/proc/17093
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

Graded automorphisms of quantum affine spaces

Hai Jin
Proceedings of the American Mathematical Society
Algebraic structures and combinatorial models
article

Graded automorphisms of quantum affine spaces

Hai Jin
article en

Abstract

This paper computes the graded automorphism group of quantum affine spaces. Specifically, we determine that this group is isomorphic to a semi-direct product of a blocked diagonal matrix group and a permutation group.

Proceedings of the American Mathematical SocietyVol. 153(4)
Openalex Percentile: Top 69%
Algebraic structures and combinatorial models
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Graded automorphisms of quantum affine spaces — Hai Jin · Proceedings of the American Mathematical Society (2024) | TGRS Research Map | TGRS