Quivers, Perverse Sheaves, and Quantized Enveloping Algebras

1991/04/01 by G. Lusztig · 5 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Rings, Modules, and Algebras #Mathematics #Pure mathematics #Algebra over a field

paper · pdf · doi:10.2307/2939279

openalex publication_date 1991/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/21

Abstract

Preliminaries 2. A class of perverse sheaves on Ev, Q 3. Multiplication 4. Restriction 5. Fourier-Deligne transform 6. Analysis of a sink 7. Multiplicative generators 8. Compatibility of multiplication with restriction 9. Rank 2 10.Definition of the canonical basis B of U-11.Properties of the canonical basis B of U-12.The variety Av 13.Singular supports 14.Example: graphs of type A, D, E 15. Example: graphs of affine type A 16. Graphs with a cyclic group action

Citations

• Hall algebras and quantum groups

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