• Corpus ID: 236772464

Quantum Representation Theory and Manin matrices I: finite-dimensional case

@inproceedings{Silantyev2021QuantumRT,
  title={Quantum Representation Theory and Manin matrices I: finite-dimensional case},
  author={Alexey Silantyev},
  year={2021}
}
We construct Quantum Representation Theory which describes quantum analogue of representations in frame of"non-commutative linear geometry"developed by Manin. To do it we generalise the internal hom-functor to the case of adjunction with a parameter and construct a general approach to representations of a monoid in a symmetric monoidal category with a parameter subcategory. Quantum Representation Theory is obtained by application of this approach to a monoidal category of some class of graded… 
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