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Quantum families of maps and quantum semigroups on finite quantum spaces

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abstract

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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math.AG 1

years

2019 1

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UNVERDICTED 1

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On the structure of noncommutative mapping schemes

math.AG · 2019-07-23 · 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.

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  • On the structure of noncommutative mapping schemes math.AG · 2019-07-23 · unverdicted · none · ref 13 · internal anchor

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