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Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations

Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations

We study representations of the classical infinite dimensional real simple Lie groups G induced from factor representations of minimal parabolic subgroups P. This makes strong use of the recently developed structure the- ory for those parabolic subgroups and subalgebras. In general parabolics in the infinite dimensional classical Lie groups are …