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.
|Original language||English (US)|
|Journal||Journal of Physics: Conference Series|
|State||Published - Apr 24 2019|
|Event||32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018 - Prague, Czech Republic|
Duration: Jul 9 2018 → Jul 13 2018
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)