TY - JOUR
T1 - Strong contraction, the mirabolic group and the Kirillov conjecture
AU - Subag, E. M.
AU - Baruch, Ehud Moshe
N1 - Publisher Copyright:
© 2019 Published under licence by IOP Publishing Ltd.
PY - 2019/4/24
Y1 - 2019/4/24
N2 - We lift any (infinitesimal) unitary irreducible representation of GLn(ℝ) to a family of representations that strongly contracts to a certain type of (infinitesimal) unitary irreducible representations of ℝn ⋊ Mn , with Mn being the mirabolic subgroup of GLn(ℝ). For the case of n = 2 we obtain the full unitary dual of ℝ2 ⋊ M 2 as a strong contraction. We demonstrate the role of the Kirillov conjecture and Kirillov model for these contractions.
AB - We lift any (infinitesimal) unitary irreducible representation of GLn(ℝ) to a family of representations that strongly contracts to a certain type of (infinitesimal) unitary irreducible representations of ℝn ⋊ Mn , with Mn being the mirabolic subgroup of GLn(ℝ). For the case of n = 2 we obtain the full unitary dual of ℝ2 ⋊ M 2 as a strong contraction. We demonstrate the role of the Kirillov conjecture and Kirillov model for these contractions.
UR - http://www.scopus.com/inward/record.url?scp=85065587250&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1194/1/012104
DO - 10.1088/1742-6596/1194/1/012104
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AN - SCOPUS:85065587250
SN - 1742-6588
VL - 1194
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012104
T2 - 32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018
Y2 - 9 July 2018 through 13 July 2018
ER -