Semisimplicity of affine cellular algebras.
| Autor: | Li, Yanbo, Sun, Bowen |
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| Předmět: | |
| Zdroj: | Journal of Algebra & Its Applications; Sep2024, Vol. 23 Issue 11, p1-10, 10p |
| Abstrakt: | In this paper, we prove that an affine cellular algebra A is semisimple if and only if the scheme associated to A is reduced and 0-dimensional, and the bilinear forms with respect to all layers of A are invertible. Moreover, if the ground ring is a perfect field, then A is semisimple if and only if it is separable. We also give a sufficient condition for an affine cellular algebra being Jacobson semisimple. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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