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arxiv: math/0610922 · v5 · pith:4EKWIUG5new · submitted 2006-10-30 · 🧮 math.OA · math.QA

Quantum families of maps and quantum semigroups on finite quantum spaces

Piotr M. Soltan This is my paper
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keywords quantummapsfamiliessemigroupsspacesarisecasescommutants
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Quantum families of maps between quantum spaces are defined and studied. We prove that quantum semigroup (and sometimes quantum group) structures arise naturally on such objects out of more fundamental properties. As particular cases we study quantum semigroups of maps preserving a fixed state and quantum commutants of given quantum families of maps.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the structure of noncommutative mapping schemes

    math.AG 2019-07 unverdicted novelty 4.0

    Introduces ind-schemes of mappings, G-mappings, and group homomorphisms in a dual functorial formalism between schemes and their quantum-group analogs.