1 results
ON GRADED SYMMETRIC CELLULAR ALGEBRAS
- Part of
-
- Journal:
- Journal of the Australian Mathematical Society / Volume 108 / Issue 3 / June 2020
- Published online by Cambridge University Press:
- 29 July 2019, pp. 349-362
- Print publication:
- June 2020
-
- Article
- Export citation
-
Let
$A=\bigoplus _{i\in \mathbb{Z}}A_{i}$ be a finite-dimensional graded symmetric cellular algebra with a homogeneous symmetrizing trace of degree 
$d$. We prove that if 
$d\neq 0$ then 
$A_{-d}$ contains the Higman ideal 
$H(A)$ and 
$\dim H(A)\leq \dim A_{0}$, and provide a semisimplicity criterion for 
$A$ in terms of the centralizer of 
$A_{0}$.
