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ON GRADED SYMMETRIC CELLULAR ALGEBRAS

  • YANBO LI (a1) and DEKE ZHAO (a2)

Abstract

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 $A_{0}$ .

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Copyright

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Footnotes

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Li is supported by the Natural Science Foundation of Hebei Province, China (A2017501003) and the Science and Technology support program of Northeastern University at Qinhuangdao (No. XNK201601). Zhao is supported partly by NSFC 11571341, 11671234, 11871107.

Footnotes

References

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ON GRADED SYMMETRIC CELLULAR ALGEBRAS

  • YANBO LI (a1) and DEKE ZHAO (a2)

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