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...
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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a r t i c l e i n f o Complex event recognition is the problem of recognizing events in long and unconstrained videos. In this extremely challenging task, concepts have recently shown a promising direction where core low-level events (referred to as concepts) are annotated and modeled using a portion of the training data, then each complex event is described using concept scores, which are feat...
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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 of a complex Green function on a real basis: I. General Theory
When the Hamiltonian H of a system is represented by a finite matrix H, constructed from a discrete basis with overlap matrix B, the matrix representation G(E) ≡ 1/(EB−H) of the resolvent G(E) = 1/(E − H) covers only one branch of G(E). We show how all branches can be specified by the phase φ of a complex unit of time tφ ≡ t0e. This permits H to be constructed on a real basis; the only duty of ...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2014
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-014-9260-2