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Orthogonal webs and semisimplification

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abstract

We define a diagrammatic category that is equivalent to tilting representations for the orthogonal group. Our construction works in characteristic not equal to two. We also describe the semisimplification of this category.

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math.RT 1

years

2025 1

verdicts

CONDITIONAL 1

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Affine web of type Q

math.RT · 2025-06-11 · conditional · novelty 6.0

The affine web category of type Q is defined, given a simplified presentation over C, and shown to have an integral diagrammatic basis indexed by elementary chicken foot diagrams.

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  • Affine web of type Q math.RT · 2025-06-11 · conditional · none · ref 6 · internal anchor

    The affine web category of type Q is defined, given a simplified presentation over C, and shown to have an integral diagrammatic basis indexed by elementary chicken foot diagrams.