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Communications in Algebra
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Volume 29, Issue 7
THE DIMENSION OF IRREDUCIBLE MODULES FOR ....

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Communications in Algebra Volume 29, 2001 - Issue 7

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Original Articles

THE DIMENSION OF IRREDUCIBLE MODULES FOR TRANSITIVE MODULE ALGEBRAS

Yongchang Zhu* Department of Math, HKUST, Clear Water Bay, Hong Kong

Pages 2877-2886 | Received 01 Aug 1999, Published online: 20 Oct 2011

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https://doi.org/10.1081/AGB-4992

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Abstract

We prove that for a semisimple Hopf algebra H, if A is a transitive H-module algebra and M is an irreducible A-module, then dim(A) divides dim(M)²dim(H).

^*Supported by RGC Earmark Grant HKUST629/95P

Acknowledgments

Notes

^*Supported by RGC Earmark Grant HKUST629/95P

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