TY - JOUR
T1 - On the symmetric square
T2 - Twisted trace formula
AU - Flicker, Yuval Z.
N1 - Funding Information:
* Partially supported by an NSF grant. ’ Email address: [email protected]
PY - 1991/5/15
Y1 - 1991/5/15
N2 - We compute a trace formula-for a test function on PGL(3,A)- twisted by the outer automorphism σ(g)=Jtg-1J, J= 0 1 1 1 0 The resulting formula is then compared with trace formulae for H = H00 = SL(2) and H1 = PGL(2), and matching functions f0 and f1 thereof. We obtain a trace formula identity which plays a key role in our study of the symmetric square lifting from H(A) to G(A). Our formulae are remarkably simple, due to the introduction of a new concept of a regular function. This eliminates the singular and weighted integrals in the trace formulae.
AB - We compute a trace formula-for a test function on PGL(3,A)- twisted by the outer automorphism σ(g)=Jtg-1J, J= 0 1 1 1 0 The resulting formula is then compared with trace formulae for H = H00 = SL(2) and H1 = PGL(2), and matching functions f0 and f1 thereof. We obtain a trace formula identity which plays a key role in our study of the symmetric square lifting from H(A) to G(A). Our formulae are remarkably simple, due to the introduction of a new concept of a regular function. This eliminates the singular and weighted integrals in the trace formulae.
UR - http://www.scopus.com/inward/record.url?scp=44949275127&partnerID=8YFLogxK
U2 - 10.1016/0022-1236(91)90095-M
DO - 10.1016/0022-1236(91)90095-M
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AN - SCOPUS:44949275127
SN - 0022-1236
VL - 98
SP - 194
EP - 210
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -