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

A note on trilinear forms for reducible representations and Beilinson’s conjectures We extend Prasad’s results on the existence of trilinear forms on representations of GL 2 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the European Mathematical Society Springer Journals

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

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Publisher
Springer Journals
Copyright
Copyright © 2000 by Springer-Verlag Berlin Heidelberg & EMS
Subject
Mathematics; Mathematics, general
ISSN
1435-9855
DOI
10.1007/s100970000026
Publisher site
See Article on Publisher Site

Abstract

We extend Prasad’s results on the existence of trilinear forms on representations of GL 2 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.

Journal

Journal of the European Mathematical SocietySpringer Journals

Published: Feb 1, 2001

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