Knapp–Stein type intertwining operators for symmetric pairs

Intertwining Operators and Residues

Logarithmic Intertwining Operators and Vertex Operators

This is the first in a series of papers where we study logarithmic intertwining operators for various vertex subalgebras of Heisenberg vertex operator algebras. In this paper we examine logarithmic intertwining operators associated with rank one Heisenberg vertex operator algebra M(1)a, of central charge 1 − 12a . We classify these operators in terms of depth and provide explicit constructions ...

Intertwining operators for VOA and their applications

1.1 Notation In this note, N denotes the set of non-negative integers, i.e. N = {0, 1, 2, . . . }. Let V be a C-linear space and z a formal variable. We introduce the following linear spaces: V [z] := {n∈N vnz | vn ∈ V, vn = 0 for all but finitely many n}, V [z, z−1] := {n∈Z vnz | vn ∈ V, vn = 0 for all but finitely many n}, V [[z]] := {n∈N vnz | vn ∈ V }, V [[z, z−1]] := {n∈Z vnz | vn ∈ V }, V...

Intertwining operators for the generalized principal series on a symmetric R-space

Three questions about the intertwining operators for the generalized principal series on a symmetric R-space are solved : description of the functional kernel, both in the noncompact and in the compact picture, domain of convergence, meromorphic continuation. A large use is made of the theory of positive Jordan triple systems. The meromorphic continuation of the intertwining integral is achieve...

INTERTWINING DIFFERENTIAL OPERATORS FOR Mp ( « , R ) AND

For each of the two series of groups, three series of representations U„, D„, and H„ (n e Z) are considered. For each series of representations there is a differential operator with the property, that raised to the nth power (n > 0), it intertwines the representations indexed by — n and n. The operators are generalizations of the d'Alembertian, the Diracoperator and a combination of the two. Un...