Representations of loop groups as factorization module categories

Lin Chen; Yuchen Fu; Dennis Gaitsgory; David Yang

doi:10.48550/arxiv.2511.02916

November 4, 2025Open Access

Representations of loop groups as factorization module categories

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Key Points

The full embedding of loop groups into factorization module categories reveals deep structural connections.
This embedding fully faithfully demonstrates the relationship between loop groups and factorization module categories.
Analysis of categorical representations shows a significant integration within the affine Grassmannian context.
These findings may enable new perspectives on mathematical structures related to loop groups.

Implication

This analysis embeds the categorical representations of loop groups into factorization module categories, indicating new insights on structure.

Abstract

We show that the (2-)category of categorical representations of the loop group embeds fully faithfully into the (2-)category of factorization module categories with respect to the affine Grassmannian.

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Cite This Study

Chen et al. (2025) studied this question.

synapsesocial.com/papers/690fdcdaf60c54d04ea38053 https://doi.org/10.48550/arxiv.2511.02916

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Representations of loop groups as factorization module categories

Key Points

Implication

Abstract

Discussion

Cite This Study

Representations of loop groups as factorization module categories

Key Points

Implication

Abstract

Discussion

Cite This Study

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