2 citations · 2 across the 2 of their papers we have counts for
5 papers
Integrability of weight modules of degree 1
Guillaume Tomasini
The aim of this article is to find all weight modules of degree 1 of a simple complex Lie algebra that integrate to a continuous representation of a simply-connected real Lie group…
Unitary representations of the universal cover of SU(1,1) and tensor products
Guillaume Tomasini, Bent Orsted
In this paper we initiate a study of the relation between weight modules for simple Lie algebras and unitary representations of the corresponding simply-connected Lie groups. In pa…
Restriction to Levi subalgebras and generalization of the category O
Guillaume Tomasini
The category of all modules over a reductive complex Lie algebra is wild, and therefore it is useful to study full subcategories. For instance, Bernstein, Gelfand and Gelfand intro…
A generalisation of the category of Bernstein-Bernstein-Gelfand
Guillaume Tomasini
Given a reductive Lie algebra over the complex numbers, we introduce a family of category which generalises the BGG category . We also classify the simple modules for…
A Howe-type correspondence for the dual pair (sl(2),sl(n)) in sl(2n)
Guillaume Tomasini
In this article we prove a Howe correspondence for a family of representations of sl(2n), which was introduced by Benkart, Britten, and Lemire.