0-cycles on Grassmannians as representations of projective groups

R. Bezrukavnikov; M. Rovinsky

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arXiv · 1811.08675

0-cycles on Grassmannians as representations of projective groups

R. Bezrukavnikov·M. Rovinsky

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Abstract

Let $F$ be an infinite division ring, $V$ be a left $F$-vector space, $r>0$ be an integer. We study the structure of the representation of the linear group $\mathrm{GL}_F(V)$ in the vector space of formal finite linear combinations of $r$-dimensional vector subspaces of $V$ with coefficients in a field $K$. 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.

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BibTeX RIS

R. Bezrukavnikov, M. Rovinsky. 2018-11-21. 0-cycles on Grassmannians as representations of projective groups. https://arxiv.org/abs/1811.08675

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