Comparative notes on Chilades galba, Led., and phiala, Gr. Gr.
نویسندگان
چکیده
منابع مشابه
On Gr-functors between Gr-categories
Each Gr-category (or categorical group) is Gr-equivalent to a Grcategory of type (Π, A, ξ), where Π is a group, A is a Π-module and ξ is a 3-cocycle of Π, with coefficients in A. In this paper, first we show that each Gr-functor induces one between Gr-categories of type (Π, C). Then we give results on the existence of Gr-functor and the classification of Gr-functors by cohomology groups H(Π, C)...
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Each Gr-functor of the type (φ, f) of a Gr-category of the type (Π, C) has the obstruction be an element k ∈ H(Π, C). When this obstruction vanishes, there exists a bijection between congruence classes of Gr-functors of the type (φ, f) and the cohomology group H(Π,C). Then the relation of Gr-category theory and the group extension problem can be established and used to prove that each Gr-catego...
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and has propagating number 3. The graph representing d is not unique. The composition d1 ◦ d2 of partition diagrams d1, d2 ∈ Ak is the set partition obtained by placing d1 above d2 and identifying the bottom dots of d1 with the top dots of d2, removing any connected components that live entirely in the middle row. For k ∈ 1 2Z>0 and n ∈ C, the partition algebra CAk(n) is the associative algebra...
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ژورنال
عنوان ژورنال: Transactions of the Royal Entomological Society of London
سال: 2009
ISSN: 0035-8894
DOI: 10.1111/j.1365-2311.1913.tb02783.x