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An Explicit Formula for the Generalized Cyclic Shuffle Map

Published online by Cambridge University Press:  20 November 2018

Jiao Zhang  and
Qing-Wen Wang
Jiao Zhang
Affiliation:
Department of Mathematics, Shanghai University, 99 Shangda Road, BaoShan District, 200444, Shanghai, P.R. China e-mail: zhangjiao.math@gmail.com wqw858@yahoo.com.cn
Qing-Wen Wang
Affiliation:
Department of Mathematics, Shanghai University, 99 Shangda Road, BaoShan District, 200444, Shanghai, P.R. China e-mail: zhangjiao.math@gmail.com wqw858@yahoo.com.cn
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Abstract

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We provide an explicit formula for the generalized cyclic shuffle map for cylindrical modules. Using this formula we give a combinatorial proof of the generalized cyclic Eilenberg–Zilber theorem.

Keywords

19D5505E45generalized cyclic shuffle mapcylindrical moduleEilenberg–Zilber theoremcyclic homology

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 1 , 14 March 2014 , pp. 210 - 223
Copyright
Copyright © Canadian Mathematical Society 2014

References

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