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Characters of Speh representations and Lewis Carroll identity. (Characters of Speh representations and Lewis Caroll identity.) (English) Zbl 1163.22008
Speh representations are the building blocks for the unitary dual of $$GL(n,A)$$, where $$A$$ is a central division algebra over a non-Archimedean local field. The characters of irreducible unitary representations can be computed from the characters of Speh representations, and a formula is known by Tadić. The authors give a new and elementary proof of the Tadić formula for the characters of the Speh representation of $$GL(n,A)$$. Their proof follows from a combinatorial identity, which is already known under the name of Lewis Caroll identity.

##### MSC:
 22E50 Representations of Lie and linear algebraic groups over local fields 11F70 Representation-theoretic methods; automorphic representations over local and global fields
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##### References:
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