JournalsjemsVol. 3, No. 1pp. 93–104

A note on trilinear forms for reducible representations and Beilinson's conjectures

  • Michael Harris

    Centre Mathématiques de Jussieu, Paris, France
  • Anthony J. Scholl

    University of Cambridge, United Kingdom
A note on trilinear forms for reducible representations and Beilinson's conjectures cover
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Abstract

We extend Prasad's results on the existence of trilinear forms on representations of GL2 of a local field, by permitting one or more of the representations to be reducible principal series, with infinite-dimensional irreducible quotient. We apply this in a global setting to compute (unconditionally) the dimensions of the subspaces of motivic cohomology of the product of two modular curves constructed by Beilinson.

Cite this article

Michael Harris, Anthony J. Scholl, A note on trilinear forms for reducible representations and Beilinson's conjectures. J. Eur. Math. Soc. 3 (2001), no. 1, pp. 93–104

DOI 10.1007/S100970000026