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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Perverse sheaves and finite-dimensional algebras


Author: K. Vilonen
Journal: Trans. Amer. Math. Soc. 341 (1994), 665-676
MSC: Primary 16D90; Secondary 18E99
DOI: https://doi.org/10.1090/S0002-9947-1994-1135104-3
MathSciNet review: 1135104
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Abstract: We study finite dimensional algebras which arise from categories of perverse sheaves on complex algebraic varieties.


References [Enhancements On Off] (What's this?)

  • [CPS] E. Cline, B. Parshall, and L. Scott, Finite dimensional algebras and highest weight categories, Crelle 391 (1988), 89-99. MR 961165 (90d:18005)
  • [DR] V. Dlab and C. M. Ringel, A construction for quasi-hereditary algebras, Compositio Math. (2) 70 (1989), 155-176. MR 996325 (90i:16018)
  • [MV] R. MacPherson and K. Vilonen, Elementary construction of perverse sheaves, Invent. Math. 84 (1986), 403-435. MR 833195 (87m:32028)
  • [MiV] R. Mirollo and K. Vilonen, Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves, Ann. Sci. École Norm. Sup. (4) 20 (1987), 1-13. MR 925719 (89e:32017)
  • [PS] B. Parshall and L. Scott, Derived categories, quasi-hereditary algebras and algebraic groups, Carlton Univ. Math. Notes, vol. 3, 1988, pp. 1-104.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1994-1135104-3
Article copyright: © Copyright 1994 American Mathematical Society

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