论文标题
在$ q $ deffermed扭曲的伴随轨道上不变的量子测度
Invariant quantum measure on $q$-deformed twisted adjoint orbits
论文作者
论文摘要
让$ u $成为一个紧凑的半圣谎言组，具有复杂化$ g $和相关的cartan差异$θ$。令$ν$作为$ g $ $θ$通勤的涉及复杂的谎言组自动形态，并考虑相关的半imple real Lie组$g_ν= \ {g \ {g \ in g \midν（g）=θ（g）=θ（g）\} $。我们考虑了商空间的$ u $ orbits $g_ν\ backslash g $的$ q $ formed类似物，并确定相关的von Neumann代数和不变状态。
Let $U$ be a compact semisimple Lie group with complexification $G$ and associated Cartan involution $Θ$. Let $ν$ be an involutive complex Lie group automorphism of $G$ commuting with $Θ$, and consider the associated semisimple real Lie group $G_ν = \{g\in G\mid ν(g) = Θ(g)\}$. We consider $q$-deformed analogues of the $U$-orbits of the quotient space $G_ν\backslash G$, and determine for these the associated von Neumann algebra and invariant state.
