Quantum diagrammatics for $F_4$

Abstract

We introduce a graphical calculus for the representation theory of the quantized enveloping algebra of type $F_4$. We do this by giving a diagrammatic description of the category of invariant tensors on the 26-dimensional fundamental representation.

31 pages; v2: minor corrections; v3: added section on affinization; v4: minor corrections, published version

References in corpus (6)

• Spiders for rank 2 Lie algebras
• Webs and quantum skew Howe duality
• The HOMFLYPT skein algebra of the torus and the elliptic Hall algebra
• Invariant tensors for the spin representation of so(7)
• Affinization of monoidal categories
• Diagrammatics for $F_4$

Cited by in corpus (2)

• The spin Brauer category
• Power sum elements in the $G_2$ skein algebra