BibTex format
@unpublished{Akylzhanov:2018,
author = {Akylzhanov, R and Arnaudon, A},
title = {Contractions of group representations via geometric quantisation},
url = {http://arxiv.org/abs/1802.03348v1},
year = {2018}
}
Publications
Citation
RIS format (EndNote, RefMan)
TY - UNPB
AB - We propose a general framework to contract unitary dual of Lie groups viaholomorphic quantization of their co-adjoint orbits. The sufficient condition for the contractability of a representation is expressed via cocycles on coadjoint orbits. This condition is checked explicitly for the contraction of ${\mathrm SU}_2$ into $\mathbb{H}$. The main tool is the geometric quantization. We construct two types of contractions that can be implemented on every matrix Lie group with diagonal contraction matrix.
AU - Akylzhanov,R
AU - Arnaudon,A
PY - 2018///
TI - Contractions of group representations via geometric quantisation
UR - http://arxiv.org/abs/1802.03348v1
UR - http://hdl.handle.net/10044/1/62929
ER -