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On multiplicities for SL(n)

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Abstract

We use the strong Artin conjecture for Galois extensions of Heisenberg type to show that a cuspidal automorphic representation of SL(N)/F, forF a number field andN>2, can occur with multiplicity greater than one. We also exhibit two cuspidalL-packets (forF=Q andN prime) which are locally isomorphic for primesp different fromN, but which are disjoint atN, i.e. thatL-packets are not rigid.

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Authors and Affiliations

  1. Department of Mathematics, University of California Los Angeles, 90024-7009, Los Angeles, CA, USA

    Don Blasius

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  1. Don Blasius
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Partially supported by NSF grant DMS 90-01878.

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Blasius, D. On multiplicities for SL(n). Israel J. Math. 88, 237–251 (1994). https://doi.org/10.1007/BF02937513

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  • DOI: https://doi.org/10.1007/BF02937513

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