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Start Over Author "Arunasalam, Suntharan" Journal algebras & representation theory
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1. A Note on Categorification and Spherical Harmonics.

Author

Arunasalam, Suntharan, Ciappara, Joshua, Nguyen, Diana M. H., Tan, Suo Jun, and Yacobi, Oded

Abstract

Using Khovanov's categorification of the Weyl algebra, we investigate categorical structures arising from spherical harmonics. We categorify the s l (2 , ℂ) -action on the polynomial ring in n variables, and use this to categorify certain simple Verma modules. On the way we also categorify the standard action of matrix units E ij ∈ g l (n , ℂ) on the polynomial ring. [ABSTRACT FROM AUTHOR]

Published
2020
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