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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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1

Preliminaries

We start with the loop algebra of images and its interpretation in terms of matrix Lie algebras. We use the subalgebra of integer matrices of the latter to introduce several important index sets which will be used throughout the book. Ringel–Hall algebras images associated with cyclic quivers images and their geometric construction are introduced in §1.2. In §1.3, we discuss the composition subalgebra of and relate it to the quantum loop algebra ...

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