We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p- adic fields the associated unitary group G = U(n, n + 1) contains a parabolic subgroup p with Levi component L isomorphic to GLn (E) X U1 (E). Let Π be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation lG P Π is reducible.
A reducibility problem for even unitary groups: The depth zero case
We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p-adic fields the associated unitary group G=U(n,n) contains a parabolic subgroup P with Levi component L isomorphic to GLn(E). Let π be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation ιPGπ is reducible.
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Advanced Statistics
Machine Learning
Number Theory
Representation Theory of Finite Groups
Representation Theory of p-adic Groups
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We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p- adic fields the associated unitary group G = U(n, n + 1) contains a parabolic subgroup p with Levi component L isomorphic to GLn (E) X U1 (E). Let Π be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation lG P Π is reducible.
A reducibility problem for even unitary groups: The depth zero case
We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p-adic fields the associated unitary group G=U(n,n) contains a parabolic subgroup P with Levi component L isomorphic to GLn(E). Let π be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation ιPGπ is reducible.
We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p- adic fields the associated unitary group G = U(n, n + 1) contains a parabolic subgroup p with Levi component L isomorphic to GLn (E) X U1 (E). Let Π be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation lG P Π is reducible.
A reducibility problem for even unitary groups: The depth zero case
We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p-adic fields the associated unitary group G=U(n,n) contains a parabolic subgroup P with Levi component L isomorphic to GLn(E). Let π be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation ιPGπ is reducible.
