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A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory by Qiang Fu, Jie Du, Bangming Deng

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5

The presentation and realization problems

As seen in Chapters 2 and 3, the double Ringel–Hall algebra images is presented by generators and relations, while the affine quantum Schur algebra images is defined as an endomorphism algebra which is a vector space with an explicitly defined multiplication. Now the algebra epimorphism from images to images raises two natural questions: ...

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