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We categorify Verma modules and indecomposable projective modules in the category \(\mathcal I_{\mathfrak {g}}(\mathfrak {sl}_2)\) for \(\mathfrak {sl}_2\) using a tensor product decomposition theorem of T. J. Enright (Ann Math 110(1), 1–82, 1979) and work of J. Chuang and R. Rouquier (Ann Math 167(1):245–298, 2008), A. Licata and A. Savage (Quantum Topol 4(2):125–185, 2013) and M. Khovanov (Fund Math 225(1):169–210, 2014).

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Categorification of Verma Modules and Indecomposable Projective Modules in the Category \(\mathcal I_{\mathfrak {g}}(\mathfrak {sl}_2)\)

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  • 发表日期：

    2025年

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  • Ben Cox,
  • Mee Seong Im

摘要

We categorify Verma modules and indecomposable projective modules in the category \(\mathcal I_{\mathfrak {g}}(\mathfrak {sl}_2)\) for \(\mathfrak {sl}_2\) using a tensor product decomposition theorem of T. J. Enright (Ann Math 110(1), 1–82, 1979) and work of J. Chuang and R. Rouquier (Ann Math 167(1):245–298, 2008), A. Licata and A. Savage (Quantum Topol 4(2):125–185, 2013) and M. Khovanov (Fund Math 225(1):169–210, 2014).