WebMy first consideration is the following: i) Consider a group G to be a category with one object g and the morphisms to be G. A representation of G is simply a functor F: G → V e c t. For two representations F 1, F 2: G → V e c t we call a natural transformation η: F 1 ⇒ F 2 a morphism of representations. Therefore the representations of ... Web15 de set. de 2013 · Knot invariants and higher representation theory. We construct knot invariants categorifying the quantum knot variants for all representations of quantum …

AMS :: Represent. Theory -- Volume 26 - American Mathematical …

WebI specialize in higher category theory and categorical algebra, and their applications in network and systems theory, representation theory, and thermodynamics. Learn more about Joe Moeller's ... WebThis terminology allows us to speak for example of R-linear 1-representations. Of course, we can “lift” this again: a (weak) 2-representation of a (weak) 2-category C in D is a (weak) 2-functor from C to D. Of course, one can also speak of R-linear 2-representations for example. As an explicit example, let G be a group viewed as a 2 ... tshirts blanc

A higher-order theory of emotional consciousness PNAS

Web20 de jul. de 2014 · Higher Representation Theory and Quantum Affine Schur-Weyl Duality. In this article, we explain the main philosophy of 2-representation theory and quantum … WebThus one can really use quiver theory to understand your semigroup's representation theory. For instance, the quiver of a 2x2 rectangular band with adjoined identity consists of two vertices 1, 2 and an edge x: 1 → 2 and an edge y: 2 → 1. The admissible ideal is generated by the relation xy = 0. WebHigher-order theories of consciousness postulate that consciousness consists in perceptions or thoughts about first-order mental states. In particular, phenomenal … t-shirts blanc gildan