Strong contraction, the mirabolic group and the Kirillov conjecture

E. M. Subag, E. M. Baruch

Research output: Contribution to journalConference article

Abstract

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 languageEnglish (US)
Article number012104
JournalJournal of Physics: Conference Series
Volume1194
Issue number1
DOIs
Publication statusPublished - Apr 24 2019
Event32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018 - Prague, Czech Republic
Duration: Jul 9 2018Jul 13 2018

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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