C*-algebraic intertwiners for degenerate principal series of special linear groups
Pierre Clare

TL;DR
This paper constructs explicit unitary intertwiners for degenerate principal series representations of SL(n+1) over local fields using C*-algebraic methods, normalizing standard integrals at the Hilbert module level.
Contribution
It introduces a novel C*-algebraic approach to normalize and construct intertwiners for degenerate principal series of special linear groups.
Findings
Explicit construction of unitary intertwiners
Normalization of standard intertwining integrals
Application to C*-algebraic universal principal series
Abstract
We construct unitary intertwiners for degenerate C*-algebraic universal principal series of SL(n+1) over a local field by explicitely normalizing standard intertwining integrals a the level of Hilbert modules.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Finite Group Theory Research
