Residues of intertwining operators for SO*6 as character identities

Intertwining Operators and Residues

Intertwining operators and residues II. Invariant distributions

1. Residues . ..... ........ .... ... .... 54 2. ir-discrete distributions ............... . .. . . .. . 58 3. Admissible families of operators .......... ............. 67 4. The main formula ............. ... ............ 74 5. Completion of the induction argument .................... 83 6. Cuspidal functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 7. Conclusions ..............

Traces of intertwining operators and

Traces of intertwining operators and Macdonald's polynomials Alexander A. Kirillov, Jr. May 1995 Let : V ! V U be an intertwining operator between representations of a simple Lie algebra (quantum group, a ne Lie algebra). We de ne its generalized character to be the following function on the Cartan subalgebra with values in U : (h) = TrV ( eh). This is a generalization of usual characters. Thes...

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...