TY - JOUR
T1 - Conformally Covariant Bi-differential Operators for Differential Forms
AU - Ben Saïd, Salem
AU - Clerc, Jean Louis
AU - Koufany, Khalid
N1 - Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - The classical Rankin–Cohen brackets are bi-differential operators from C∞(R) × C∞(R) into C∞(R). They are covariant for the (diagonal) action of SL (2 , R) through principal series representations. We construct generalizations of these operators, replacing R by Rn, the group SL (2 , R) by the group SO (1 , n+ 1) viewed as the conformal group of Rn, and functions by differential forms.
AB - The classical Rankin–Cohen brackets are bi-differential operators from C∞(R) × C∞(R) into C∞(R). They are covariant for the (diagonal) action of SL (2 , R) through principal series representations. We construct generalizations of these operators, replacing R by Rn, the group SL (2 , R) by the group SO (1 , n+ 1) viewed as the conformal group of Rn, and functions by differential forms.
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U2 - 10.1007/s00220-019-03431-6
DO - 10.1007/s00220-019-03431-6
M3 - Article
AN - SCOPUS:85064908470
SN - 0010-3616
VL - 373
SP - 739
EP - 761
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -