Restriction of irreducible unitary representations of ๐๐๐๐(๐,1) to parabolic subgroups
Restriction of irreducible unitary representations of ๐๐๐๐(๐,1) to parabolic subgroups
In this paper, we obtain explicit branching laws for all irreducible unitary representations of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G equals upper S p i n left-parenthesis upper N comma 1 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>G</mml:mi> <mml:mo>=</mml:mo> <mml:mi>Spin</mml:mi> <mml:mo>โก<!-- โก --></mml:mo> <mml:mo stretchy="false">(</mml:mo> <mml:mi>N</mml:mi> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">G=\operatorname โฆ