Categories parametrized by schemes and representation theory in complex rank
نویسندگان
چکیده
منابع مشابه
Representation Theory in Complex Rank
The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. The subject of representation theory in complex rank goes back to the papers [DM, De1]. Namely, these papers introduce Karoubian tensor categories Rep(GL t) ([DM, De1]), Rep(O t), Rep(Sp 2t), t ∈ C ([De1]), which are interpolations of the tensor categories of algebraic represen...
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defined on n-tuples of commuting elements of G and invariant under simultaneous conjugation. Thus, in [HKR00] the study of nth Morava E-theory at a prime p leads to χ(g1, ..., gn) defined on gi of p-power order. On the other hand, the construction of equivariant elliptic cohomology in [Dev96] (which corresponds to n = 2) uses functions χ(g1, g2) as above but without restrictions on the order. T...
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Representation theory. Let us try to study a given object X through vector spaces V associated naturally to it. The symmetries S of X can form a group or more generally some kind of an algebra usually related to a group (Lie algebra, quantum group,...). The Vector space V inherits the symmetries of X, and they act on V by linear operators. This is what one means by “V is a representation of the...
متن کاملRepresentation Theory in Complex
The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. The subject of representation theory in complex rank goes back to the papers [DM, De1]. Namely, these papers introduce Karoubian tensor categories Rep(GL t) ([DM, De1]), Rep(O t), Rep(Sp 2t), t ∈ C ([De1]), which are interpolations of the tensor categories of algebraic represen...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2013
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.01.029