Author: Urs Format: MarkdownItexThe category-theoretic formulation of twisted intertwiners
(for the latter I am citing Fuchs, Schweigert et al. 2000, but the notion will be older and there may be older terminology for it, let me know if you have a reference )
<a href="https://ncatlab.org/nlab/revision/twisted+intertwiner/1">v1</a>, <a href="https://ncatlab.org/nlab/show/twisted+intertwiner">current</a>
The category-theoretic formulation of twisted intertwiners
(for the latter I am citing Fuchs, Schweigert et al. 2000, but the notion will be older and there may be older terminology for it, let me know if you have a reference )
Author: Urs Format: MarkdownItexmore formulas and more diagrams
(on the higher morphisms between twisted intertwiners -- have never seen these discussed in the literature, have they been?)
<a href="https://ncatlab.org/nlab/revision/diff/twisted+intertwiner/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+intertwiner/2">v2</a>, <a href="https://ncatlab.org/nlab/show/twisted+intertwiner">current</a>
more formulas and more diagrams
(on the higher morphisms between twisted intertwiners – have never seen these discussed in the literature, have they been?)
Author: Urs Format: MarkdownItexmade explicit in components ([here](https://ncatlab.org/nlab/show/twisted+intertwiner#Deformations)) how "deformation" of twisted intertwiners is an equivalence relation respected by composition (hence giving a component-description of the homotopy category of the 2-category of representations, twisted intertwiners and their deformations).
<a href="https://ncatlab.org/nlab/revision/diff/twisted+intertwiner/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+intertwiner/3">v3</a>, <a href="https://ncatlab.org/nlab/show/twisted+intertwiner">current</a>
made explicit in components (here) how “deformation” of twisted intertwiners is an equivalence relation respected by composition (hence giving a component-description of the homotopy category of the 2-category of representations, twisted intertwiners and their deformations).