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

Michael Harris; Anthony Scholl

Journal of the European Mathematical Society (2001)

  • Volume: 003, Issue: 1, page 93-104
  • ISSN: 1435-9855

Abstract

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We extend Prasad’s results on the existence of trilinear forms on representations of G L 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.

How to cite

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Harris, Michael, and Scholl, Anthony. "A note on trilinear forms for reducible representations and Beilinson's conjectures." Journal of the European Mathematical Society 003.1 (2001): 93-104. <http://eudml.org/doc/277334>.

@article{Harris2001,
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.},
author = {Harris, Michael, Scholl, Anthony},
journal = {Journal of the European Mathematical Society},
keywords = {trilinear forms; reducible representation; motivic cohomology; modular curves; Beilinson's conjectures},
language = {eng},
number = {1},
pages = {93-104},
publisher = {European Mathematical Society Publishing House},
title = {A note on trilinear forms for reducible representations and Beilinson's conjectures},
url = {http://eudml.org/doc/277334},
volume = {003},
year = {2001},
}

TY - JOUR
AU - Harris, Michael
AU - Scholl, Anthony
TI - A note on trilinear forms for reducible representations and Beilinson's conjectures
JO - Journal of the European Mathematical Society
PY - 2001
PB - European Mathematical Society Publishing House
VL - 003
IS - 1
SP - 93
EP - 104
AB - 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.
LA - eng
KW - trilinear forms; reducible representation; motivic cohomology; modular curves; Beilinson's conjectures
UR - http://eudml.org/doc/277334
ER -

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