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arXiv · 2608.15327

A categorification of the integral form of the Cartan subalgebra for quantum sl(2)

Mikhail Khovanov
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Abstract

We propose a categorification of the Lusztig integral form of the quantum Cartan subalgebra for $sl(2)$ via a colimit of categories of equivariant coherent sheaves on finite-dimensional projective spaces. The nonequivariant version of our construction yields a nonsemisimple abelian categorification of the ring of integer-valued polynomials.

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Mikhail Khovanov. 2026-08-15. A categorification of the integral form of the Cartan subalgebra for quantum sl(2). https://arxiv.org/abs/2608.15327

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