Quantum polynomial functors from e-Hecke pairs

Buciumas, Valentin; Ko, Hankyung

doi:10.1007/s00209-018-2106-1

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Quantum polynomial functors from e-Hecke pairs

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Buciumas, Valentin
Max Planck Institute for Mathematics, Max Planck Society;

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Ko, Hankyung
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00209-018-2106-1
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Buciumas-Ko_Quantum Polynomial Functors From e_Hecke pairs_2019.pdf
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Citation

Buciumas, V., & Ko, H. (2019). Quantum polynomial functors from e-Hecke pairs. Mathematische Zeitschrift, 292(1-2), 1-31. doi:10.1007/s00209-018-2106-1.

Cite as: https://hdl.handle.net/21.11116/0000-0004-40AD-1

Abstract

We define a new category of quantum polynomial functors extending the quantum polynomials introduced by Hong and Yacobi. We show that our category has many properties of the category of Hong and Yacobi and is the natural setting in which one can define composition of quantum polynomial functors. Throughout the paper we highlight several key differences between the theory of classical and quantum polynomial functors.