TY - GEN
T1 - Galois representations and Cohomology of SL(3, ℤ)
AU - McConnell, Mark
N1 - Publisher Copyright:
© 1994, Springer Verlag. All rights reserved.
PY - 1994
Y1 - 1994
N2 - Conjecturally, by the Langlands philosophy, a cuspidal cohomology class of level N for SL(n, ℤ) should have an attached Galois representation. This is a finite-dimensional l-adic representation π of Gal(ℚ/ℚ), unramified for primes p not dividing l and N, for which the image of a Frobenius element for p is related to the p-th Hecke eigenvalues of the class. By a conjecture of Ash [1], the same should hold for l-torsion cohomology classes α.
AB - Conjecturally, by the Langlands philosophy, a cuspidal cohomology class of level N for SL(n, ℤ) should have an attached Galois representation. This is a finite-dimensional l-adic representation π of Gal(ℚ/ℚ), unramified for primes p not dividing l and N, for which the image of a Frobenius element for p is related to the p-th Hecke eigenvalues of the class. By a conjecture of Ash [1], the same should hold for l-torsion cohomology classes α.
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U2 - 10.1007/3-540-58691-1_51
DO - 10.1007/3-540-58691-1_51
M3 - Conference contribution
AN - SCOPUS:85028810531
SN - 9783540586913
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
BT - Algorithmic Number Theory - 1st International Symposium, ANTS-I, Proceedings
A2 - Adleman, Leonard M.
A2 - Huang, Ming-Deh
PB - Springer Verlag
T2 - 1st Algorithmic Number Thoery Symposium, ANTS-I 1994
Y2 - 6 May 1994 through 9 May 1994
ER -