Finite Dimensional Algebras and Quantum Groups

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Getting started Quivers and their representations: Representations of quivers
Algebras with Frobenius morphisms Quivers with automorphisms
Some quantized algebras: Coxeter groups and Hecke algebras
Hopf algebras and universal enveloping algebras
Quantum enveloping algebras Representations of symmetric groups
Kazhdan-Lusztig combinatorics for Hecke algebras
Cells and representations of symmetric groups
The integral theory of quantum Schur algebras
Ringel-Hall algebras: A realization for the $\pm$-part: Ringel-Hall algebras
Bases of quantum enveloping algebras of finite type
Green's theorem The BLM algebra
A realization for quantum $\mathfrak{gl}_{n}$: Serre relations in quantum
Schur algebras Constructing quantum $\mathfrak{gl}_{n}$ via quantum
Schur algebras
Appendices: Varieties and affine algebraic groups
Quantum linear groups through coordinate algebras
Quasi-hereditary and cellular algebras
Index of terminology
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