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On exotic and perverse-coherent sheaves

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Representations of Reductive Groups

Part of the book series: Progress in Mathematics ((PM,volume 312))

Abstract

Exotic sheaves are certain complexes of coherent sheaves on the cotangent bundle of the flag variety of a reductive group. They are closely related to perverse-coherent sheaves on the nilpotent cone. This expository article includes the definitions of these two categories, applications, and some structure theory, as well as detailed calculations for SL2.

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Acknowledgements

I am grateful to Chris Dodd, Carl Mautner, and Simon Riche for numerous helpful comments and suggestions on an earlier draft of this paper. This work was supported by NSF grant DMS-1001594 and NSA grant H98230-14-1-0117.

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA

    Pramod N. Achar

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  1. Pramod N. Achar
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Correspondence to Pramod N. Achar .

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  1. Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada

    Monica Nevins

  2. Dept of Mathematics and Statistics, University of Utah, Salt Lake City, Utah, USA

    Peter E. Trapa

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Dedicated to David Vogan on his 60th birthday

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Achar, P.N. (2015). On exotic and perverse-coherent sheaves. In: Nevins, M., Trapa, P. (eds) Representations of Reductive Groups. Progress in Mathematics, vol 312. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-23443-4_2

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