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Symmetries of Grothendieck rings in representation theory

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arxiv 2501.03024 v1 pith:6NGBZC3R submitted 2025-01-06 math.RT math.QAmath.RAnlin.SI

David Hernandez This is my paper · ORCID
classification math.RTmath.QAmath.RAnlin.SI
keywords grothendieckrepresentationringssymmetriestheorycertaincongressemerged
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This is a written version of the invited lecture at the 9th European Congress of Mathematics in July 2024 in Sevilla. We review certain new symmetries of Grothendieck rings that have emerged in representation theory.

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Cited by 1 Pith paper

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  1. Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety

    math.RT 2026-07 conditional novelty 8.0 of 10

    The Grothendieck ring of integral category O for shifted Yangians equals the Cox ring of a new open bi-infinite Bott-Samelson pro-variety, proving the Hernandez-Zhang and Frenkel-Hernandez/GHL conjectures in simply-la...

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