منابع مشابه
On Categorification
We review several known categorification procedures, and introduce a functorial categorification of group extensions with applications to non-abelian group cohomology. Categorification of acyclic models and of topological spaces are briefly mentioned.
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The Jones-Wenzl projectors pn play a central role in quantum topology, underlying the construction of SU(2) topological quantum field theories and quantum spin networks. We construct chain complexes Pn , whose graded Euler characteristic is the “classical” projector pn in the Temperley-Lieb algebra. We show that the Pn are idempotents and uniquely defined up to homotopy. Our results fit within ...
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2 Preliminaries 5 2.1 The ring R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 The algebra A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Algebra A and (1+1)-dimensional cobordisms . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Kauffman bracket . . . . . . . . . . . . . . . . . . . ...
متن کاملRepresentations of the Renner Monoid
We describe irreducible representations and character formulas of the Renner monoids for reductive monoids, which generalizes the Munn-Solomon representation theory of rook monoids to any Renner monoids. The type map and polytope associated with reductive monoids play a crucial role in our work. It turns out that the irreducible representations of certain parabolic subgroups of the Weyl groups ...
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2013
ISSN: 0037-1912,1432-2137
DOI: 10.1007/s00233-013-9510-y