TY - JOUR
T1 - Explicit forms of local lifting for GL2
AU - Kim, Donggyun
PY - 1996/4
Y1 - 1996/4
N2 - Let F be a local non-Archimedean field and let S(GL2(F)) be the set of equivalence classes of irreducible admissible representations of GL2(F). When K/F be a Galois field extension, there is a map, called lifting, from S(GL2(F)) to S(GL2(K)). We give an explicit form of lifting when K/F is a quadratic wildly ramified extension and the given representations are Weil supercuspidal. We also provide a comparison between Weil representations and induced representations of GL2(F).
AB - Let F be a local non-Archimedean field and let S(GL2(F)) be the set of equivalence classes of irreducible admissible representations of GL2(F). When K/F be a Galois field extension, there is a map, called lifting, from S(GL2(F)) to S(GL2(K)). We give an explicit form of lifting when K/F is a quadratic wildly ramified extension and the given representations are Weil supercuspidal. We also provide a comparison between Weil representations and induced representations of GL2(F).
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U2 - 10.4153/CJM-1996-019-3
DO - 10.4153/CJM-1996-019-3
M3 - Article
AN - SCOPUS:0030511353
SN - 0008-414X
VL - 48
SP - 343
EP - 362
JO - Canadian Journal of Mathematics
JF - Canadian Journal of Mathematics
IS - 2
ER -