0-Cycles on Grassmannians as Representations of Projective Groups
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40598_2019_126_ReferencePDF.pdf
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329.2 KB
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fc53be1792021c1cd08f8eafde100ca8
Author(s)
Bezrukavnikov, R.
Rovinsky, M.
Date Issued
November 5, 2019
Publisher
Springer International Publishing
Version
Author's final manuscript
Abstract
Abstract
Let F be an infinite division ring, V be a left F-vector space, $$r\ge 1$$r≥1 be an integer. We study the structure of the representation of the linear group $$\mathrm {GL}_F(V)$$GLF(V) in the vector space of formal finite linear combinations of r-dimensional vector subspaces of V with coefficients in a field. This gives a series of natural examples of irreducible infinite-dimensional representations of projective groups. These representations are non-smooth if F is locally compact and non-discrete.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s40598-019-00126-7
