## Correspondence between representations of the dual reductive pair $$O(n)$$ and $$\text{SL}_2$$.(English)Zbl 0908.20035

Summary: We state a connection between the Weyl representations of the dual reductive pair $$O(n)$$ and $$SL_2$$, and prove that they have eigenvectors in common.

### MSC:

 20G05 Representation theory for linear algebraic groups 20G40 Linear algebraic groups over finite fields

### Keywords:

Weyl representations; dual reductive pairs
Full Text: