RT Journal Article
T1 Quasi-exactly solvable Lie superalgebras of differential operators
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 Rodríguez González, Miguel Ángel
AB In this paper, we study Lie superalgebras of 2 x 2 matrix-valued first-order differential operators on the complex line. We first completely classify all such superalgebras of finite dimension. Among the finite-dimensional superalgebras whose odd subspace is non-trivial, we find those admitting a finite-dimensional invariant module of smooth vector-valued functions, and classify all the resulting finite-dimensional modules. The latter Lie superalgebras and their modules are the building blocks in the construction of quasi-exactly solvable quantum mechanical models for spin-1/2 particles in one dimension.
PB IOP Publishing LTD
SN 0305-4470
YR 1997
FD 1997-10-07
LK https://hdl.handle.net/20.500.14352/59716
UL https://hdl.handle.net/20.500.14352/59716
LA eng
NO ©1997 IOP Publishing Ltd.This work was supported in part by DGICYT grant PB95-0401.
NO DGICYT
DS Docta Complutense
RD 5 abr 2025