K.H. Ulbrich. On hopf algebras and rigid monoidal categories. Israel J. of Math., 72:252-256, 1990. Home/Search Document Not in Database Summary Related Articles Check |
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The Shuffle Hopf Algebra and Noncommutative Full Completeness - Blute, Scott (1996) (5 citations) (Correct)
....describing free monoidal categories [11] then modifying the structural rule of exchange should be the logical analogue of the quantization process discussed in these references. This suggests for example a logical interpretation of theorems such as the various Tannaka Krein theorems described in [27, 28, 37]. The particular Hopf algebra chosen is of independent interest in several fields. In the theory of distributed and concurrent computation, an important notion is that of interleaving or merging of input streams of data. Benson [10] observed that this process has a natural algebraic structure, ....
K. Ulbrich, On Hopf Algebras and Rigid Monoidal Categories, Israel Journal of Mathematics 71, p. 252-256, (1989).
Higher-Dimensional Algebra I: Braided Monoidal 2-Categories - Baez, Neuchl (1996) (10 citations) (Correct)
....are straightforward quotients thereof [20] Thus the center construction can be regarded as an elegant approach to quantum groups, which, as we shall see, makes their appearance in 3 dimensional topology much less mysterious. The class of theorems known as Tannaka Krein reconstruction theorems [9, 27, 32] further clarifies the relation between the center construction and quantum doubles. Given a Hopf algebra H, the category Reps(H) is a C linear abelian rigid monoidal category and equipped with a faithful C linear exact monoidal functor to Vect. Conversely, given any such category C equipped ....
K.-H. Ulbrich, On Hopf algebras and rigid monoidal categories, Israel Jour. of Math. 72 (1990), 252-256.
Entropic Hopf Algebras And Models Of - Non-Commutative Logic Richard (2001) (Correct)
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K.H. Ulbrich. On hopf algebras and rigid monoidal categories. Israel J. of Math., 72:252-256, 1990.
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