Quantum diagrammatics for $F_4$
Alistair Savage, Bruce W. Westbury
TL;DR
This paper develops a graphical calculus for the representation theory of the quantum group of type F4, providing a visual framework for understanding invariant tensors in its fundamental representation.
Contribution
It introduces a novel diagrammatic approach to the category of invariant tensors for the quantized F4 algebra, enhancing understanding of its representation theory.
Findings
Diagrammatic description of invariant tensors for F4
New graphical calculus for quantum F4 representations
Facilitates visual reasoning in quantum algebra
Abstract
We introduce a graphical calculus for the representation theory of the quantized enveloping algebra of type . We do this by giving a diagrammatic description of the category of invariant tensors on the 26-dimensional fundamental representation.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Black Holes and Theoretical Physics