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Let A be an n-dimensional algebra over a field k and a(A) its quantum symmetry semigroup. We prove that the automorphisms group AutAlg(A) of A is isomorphic to the group… Click to show full abstract
Let A be an n-dimensional algebra over a field k and a(A) its quantum symmetry semigroup. We prove that the automorphisms group AutAlg(A) of A is isomorphic to the group U ( G(a(A)) ) of all invertible group-like elements of the finite dual a(A). For a group G, all G-gradings on A are explicitly described and classified: the set of isomorphisms classes of all G-gradings on A is in bijection with the quotient set HomBiAlg (
Keywords:
finite dimensional;
group;
gradings finite;
classification gradings;
group classification;
automorphisms group
Journal Title: Results in Mathematics
Year Published: 2021
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!