arXiv Analytics

Sign in

arXiv:math/0311207 [math.RT]AbstractReferencesReviewsResources

Integrable modules for affine Lie superalgebras

S. Eswara Rao, Vyacheslav Futorny

Published 2003-11-13, updated 2007-10-20Version 2

Irreducible nonzero level modules with finite-dimensional weight spaces are studied for non-twisted affine Lie superalgebras. A complete classification is obtained for superalgebras A(m,n)^ and C(n)^. In other cases the classification problem is reduced to the classification of cuspidal modules over finite-dimensional cuspidal Lie superalgebras described by Dimitrov, Mathieu and Penkov. It is also shown that any irreducible weakly integrable (in the sense of Kac and Wakimoto) module is highest weight.

Comments: 21 page
Categories: math.RT, math-ph, math.MP
Subjects: 17B67
Related articles: Most relevant | Search more
arXiv:1206.6609 [math.RT] (Published 2012-06-28, updated 2015-01-24)
Integrable modules for Lie Torus
arXiv:1309.1346 [math.RT] (Published 2013-09-05)
Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra
arXiv:1509.02759 [math.RT] (Published 2015-09-09)
On Integrable modules for the twisted full toroidal Lie algebra

Links

Toolbox