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Some extension algebras for standard modules over KLR algebras of type $A$

Autor: Buursma, Doeke, Kleshchev, Alexander, Steinberg, David J.

Khovanov-Lauda-Rouquier algebras $R_\theta$ of finite Lie type are affine quasihereditary with standard modules $\Delta(\pi)$ labeled by Kostant partitions of $\theta$. Let $\Delta$ be the direct sum of all standard modules. It is known that the Yone

Externí odkaz: http://arxiv.org/abs/1906.11380

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Resolutions of standard modules over KLR algebras of type $A$

Autor: Buursma, Doeke, Kleshchev, Alexander, Steinberg, David J.

Khovanov-Lauda-Rouquier algebras $R_\theta$ of finite Lie type are affine quasihereditary with standard modules $\Delta(\pi)$ labeled by Kostant partitions $\pi$ of $\theta$. In type $A$, we construct explicit projective resolutions of standard modul

Externí odkaz: http://arxiv.org/abs/1906.11376

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