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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Primitive Representations of U(1, 1)(O)

Presented by Luis Gutierrez, Universidad Austral de Chile

19 September 2016 16:00 in CM221

Let O be the ring of integers of a ramified quadratic extension E/F of local non-archimedian field. The group U(1, 1)(O) the group of matrices g ∈ GL(2, O) that preserves the form h : E^2 × E^2 → E given by
h((x, y),(z, w)) = (x^∗)w − (y^∗)z.
We construct a family of irreducible representations ρ , called primitive, of U(1, 1)(O) such that any irreducible representation σ of U(1, 1)(O) is of the form ρ ⊗ χ ◦ det, for some linear character χ of O^×.

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