Lie algebras
George Seligman (1987)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Renate Carlsson (1976)
Journal für die reine und angewandte Mathematik
Olivia Rossi-Doria (2000)
Bollettino dell'Unione Matematica Italiana
M. Havlíček, P. Exner (1975)
Annales de l'I.H.P. Physique théorique
Didier Arnal, Hádi Benamor, Benjamin Cahen (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Kenji Iohara (2008)
Annales de l’institut Fourier
Dans cet article, on classifie les modules de plus haut poids unitarisables sur la super-algèbre de Virasoro tordue.
Yves Benoist (1988)
Bulletin de la Société Mathématique de France
Vyjayanthi Chari, Andrew Pressley (1986)
Mathematische Annalen
Jeffrey Adams (1994)
Journal für die reine und angewandte Mathematik
Remm, E., Goze, Michel (2002)
International Journal of Mathematics and Mathematical Sciences
Xinyue Wang, Liangyun Chen, Yao Ma (2024)
Czechoslovak Mathematical Journal
We construct a family of non-weight modules which are free -modules of rank 2 over the super Schrödinger algebra in -dimensional spacetime. We determine the isomorphism classes of these modules. In particular, free -modules of rank 2 over are also constructed and classified. Moreover, we obtain the sufficient and necessary conditions for such modules to be simple.
Didier Arnal, Mabrouk Benammar, Mohamed Selmi (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Vinay V. Deodhar (1980)
Inventiones mathematicae
B. Морозов (1943)
Matematiceskij sbornik
Thomas N. Vougiouklis (1985)
Commentationes Mathematicae Universitatis Carolinae
Ivan Penkov, Vera Serganova (2012)
Annales de l’institut Fourier
Let be a complex reductive Lie algebra and be any reductive in subalgebra. We call a -module bounded if the -multiplicities of are uniformly bounded. In this paper we initiate a general study of simple bounded -modules. We prove a strong necessary condition for a subalgebra to be bounded (Corollary 4.6), i.e. to admit an infinite-dimensional simple bounded -module, and then establish a sufficient condition for a subalgebra to be bounded (Theorem 5.1). As a result we are able to...
Iain G. Gordon, Ivan Losev (2014)
Journal of the European Mathematical Society
We study equivalences for category of the rational Cherednik algebras of type : a highest weight equivalence between and for and an action of on an explicit non-empty Zariski open set of parameters ; a derived equivalence between and whenever and have integral difference; a highest weight equivalence between and a parabolic category for the general linear group, under a non-rationality assumption on the parameter . As a consequence, we confirm special cases of conjectures...
D. M. O'Brien, A. Cant, A. L. Carey (1977)
Annales de l'I.H.P. Physique théorique
Moens, E.M., Van der Jeugt, J. (2004)
Journal of Lie Theory
Zhelobenko, D.P. (1999)
Lobachevskii Journal of Mathematics