Published July 1990
| Version v1
Journal article
Quantum group structure in the Fock space resolutions of sl(n) representations
Creators
- 1. Massachusetts Inst. of Tech., Cambridge (USA). Dept. of Physics
- 2. Massachusetts Inst. of Tech., Cambridge (USA). Center for Theoretical Physics
- 3. Brandeis Univ., Waltham, MA (USA). Dept. of Physics
- 4. University of Southern California, Los Angeles (USA). Dept. of Physics
Description
We describe a complex of Wakimoto-type Fock space modules for the affine Kac-Moody algebra sl(n). The intertwining operators that build the complex are obtained from contour integrals of so-called screening operators. We show that a quantum group structure underlies the algebra of screening operators. This observation greatly facilitates the explicit determination of the intertwiners. We conjecture that the complex provides a resolution of an irreducible highest weight module in terms of Fock spaces. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 131
- Journal Issue
- 1
- Series
- Commun. Math. Phys.
- Journal Page Range
- 125-155
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 21059802
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GROUP THEORY; HILBERT SPACE; INTEGRALS; IRREDUCIBLE REPRESENTATIONS; QUANTUM MECHANICS; QUANTUM OPERATORS; SL GROUPS
- Descriptors DEC
- BANACH SPACE; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; SPACE; SYMMETRY GROUPS
Optional Information
- Contract/Grant/Project number
- Contract DE-AC02-76ER03069; Grant PHY-88-04561; PHY-87-08447