Open Access
January 2018 SVV algebras
Ruari Donald Walker
Proc. Japan Acad. Ser. A Math. Sci. 94(1): 7-12 (January 2018). DOI: 10.3792/pjaa.94.7


In 2010 Shan, Varagnolo and Vasserot introduced a family of graded algebras in order to prove a conjecture of Kashiwara and Miemietz which stated that the finite-dimensional representations of affine Hecke algebras of type $D$ categorify a module over a certain quantum group. We study these algebras, and in various cases, show how they relate to Varagnolo-Vasserot algebras and to quiver Hecke algebras which in turn allows us to deduce various homological properties.


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Ruari Donald Walker. "SVV algebras." Proc. Japan Acad. Ser. A Math. Sci. 94 (1) 7 - 12, January 2018.


Published: January 2018
First available in Project Euclid: 5 January 2018

zbMATH: 06902809
MathSciNet: MR3743721
Digital Object Identifier: 10.3792/pjaa.94.7

Primary: 16D90 , 17D99

Keywords: affine cellular , affine quasi-hereditary , Morita equivalence , SVV algebras

Rights: Copyright © 2018 The Japan Academy

Vol.94 • No. 1 • January 2018
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