منابع مشابه
Tensor product for symmetric monoidal categories
We introduce a tensor product for symmetric monoidal categories with the following properties. Let SMC denote the 2-category with objects small symmetric monoidal categories, arrows symmetric monoidal functors and 2-cells monoidal natural transformations. Our tensor product together with a suitable unit is part of a structure on SMC that is a 2-categorical version of the symmetric monoidal clos...
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In this article, the notions of non-abelian tensor and exterior products of two normal crossed submodules of a given crossed module of groups are introduced and some of their basic properties are established. In particular, we investigate some common properties between normal crossed modules and their tensor products, and present some bounds on the nilpotency class and solvability length of the...
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Suppose that G is a groupoid acting on a small category H in the sense of [9, Definition 4] and H ×α G is the resulting semi-direct product category (as in [9, Proposition 8]). We show that there exists a subcategory Hr ⊆ H satisfying some nice property called “regularity” such that Hr ×α G = H ×α G. Moreover, we show that there exists a so-called “quasi action” (see Definition 3.1) β of G on C...
متن کاملExternal tensor product of categories of perverse sheaves
Under some assumptions we prove that the Deligne tensor product of categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X × Y . The Deligne external tensor product functor is identified with the geometrical external tensor product.
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In this paper we study some properties of tensor categories that arise in 2dimensional conformal and 3-dimensional topological quantum field theory—socalled modular tensor categories. By definition, these categories are braided tensor categories with duality which are semisimple, have a finite number of simple objects and satisfy some non-degeneracy condition. Our main example of such a categor...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2011
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2011.04.012