A note on trilinear forms for reducible representations and Beilinson's conjectures
Journal of the European Mathematical Society, Tome 3 (2001) no. 1, pp. 93-104
Cet article a éte moissonné depuis la source EMS Press
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.
@article{JEMS_2001_3_1_a2,
author = {Michael Harris and Anthony J. Scholl},
title = {A note on trilinear forms for reducible representations and {Beilinson's} conjectures},
journal = {Journal of the European Mathematical Society},
pages = {93--104},
year = {2001},
volume = {3},
number = {1},
doi = {10.1007/s100970000026},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s100970000026/}
}
TY - JOUR AU - Michael Harris AU - Anthony J. Scholl TI - A note on trilinear forms for reducible representations and Beilinson's conjectures JO - Journal of the European Mathematical Society PY - 2001 SP - 93 EP - 104 VL - 3 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1007/s100970000026/ DO - 10.1007/s100970000026 ID - JEMS_2001_3_1_a2 ER -
%0 Journal Article %A Michael Harris %A Anthony J. Scholl %T A note on trilinear forms for reducible representations and Beilinson's conjectures %J Journal of the European Mathematical Society %D 2001 %P 93-104 %V 3 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1007/s100970000026/ %R 10.1007/s100970000026 %F JEMS_2001_3_1_a2
Michael Harris; Anthony J. Scholl. A note on trilinear forms for reducible representations and Beilinson's conjectures. Journal of the European Mathematical Society, Tome 3 (2001) no. 1, pp. 93-104. doi: 10.1007/s100970000026
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