Imprimitive Representations of SL(2, 2k)
نویسندگان
چکیده
منابع مشابه
On Minuscule Representations and the Principal Sl2
We study the restriction of minuscule representations to the principal SL2, and use this theory to identify an interesting test case for the Langlands philosophy of liftings. In this paper, we review the theory of minuscule co-weights λ for a simple adjoint group G over C, as presented by Deligne [D]. We then decompose the associated irreducible representation Vλ of the dual group Ĝ, when restr...
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Starting from a Hecke R−matrix, Jing and Zhang constructed a new deformation Uq(sl2) of U(sl2), and studied its finite dimensional representations in [6]. Especically, this algebra is proved to be just a bialgebra, and all finite dimensional irreducible representations are constructed in [6]. In addition, an example is given to show that not every finite dimensional representation of this algeb...
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We study multiplicity space signatures in tensor products of sl2 and Uq(sl2) representations and theirapplications. We completely classify definite multiplicity spaces for generic tensor products of sl2 Vermamodules. This provides a classification of a family of unitary representations of a basic quantized quivervariety, one of the first such classifications for any quantized qu...
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Using the tensor product variety introduced in [6] and [9], the complete structure of the tensor product of a finite number of integrable highest weight modules of Uq(sl 2) is recovered. In particular, the elementary basis, Lusztig's canonical basis, and the basis adapted to the decomposition of the tensor product into simple modules are all exhibited as distinguished elements of certain spaces...
متن کاملSmall representations of SL2 in the nite Morley rank category
In this article we consider representations of SL2 which are interpretable in nite Morley rank theories, meaning that inside a universe of nite Morley rank we shall study the following de nable objects: a group G isomorphic to SL2, an abelian group V , and an action of G on V ; V is thus a de nable G-module on which G acts de nably. Our goal will be to identify V with a standard Gmodule, under ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1993
ISSN: 0095-8956
DOI: 10.1006/jctb.1993.1030