Lie subalgebras of differential operators on the super circle

Simple item page
dc.creatorCheng, Shun-Jen
dc.creatorWang, Weiqiang
dc.date2001-03-15
dc.date.accessioned2026-07-07T04:40:38Z
dc.date.available2026-07-07T04:40:38Z
dc.descriptionWe classify anti-involutions of Lie superalgebra $\hsd$ preserving the principal gradation, where $\hsd$ is the central extension of the Lie superalgebra of differential operators on the super circle $S^{1|1}$. We clarify the relations between the corresponding subalgebras fixed by these anti-involutions and subalgebras of $\hat{gl}_{\infty|\infty}$ of types $OSP$ and $P$. We obtain a criterion for an irreducible highest weight module over these subalgebras to be quasifinite and construct free field realizations of a distinguished class of these modules. We further establish dualities between them and certain finite-dimensional classical Lie groups on Fock spaces.
dc.description51 pages, Latex format
dc.identifierhttps://arxiv.org/abs/math/0103092
dc.identifierhttp://arxiv.org/abs/math/0103092
dc.identifierPubl. Res. Inst. Math. Sci. 39 (2003), No. 3, 545--600
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61092
dc.subjectQuantum Algebra
dc.subject17B65
dc.titleLie subalgebras of differential operators on the super circle
dc.typetext

Files

Collections

arXiv