The structures of Hopf $\ast $-algebra on Radford algebras
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 365-377
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We investigate the structures of Hopf $\ast $-algebra on the Radford algebras over $\mathbb {C}$. All the $*$-structures on $H$ are explicitly given. Moreover, these Hopf $*$-algebra structures are classified up to equivalence.
DOI :
10.21136/CMJ.2018.0319-17
Classification :
16G99, 16T05
Keywords: antilinear map; $\ast $-structure; Hopf $\ast $-algebra
Keywords: antilinear map; $\ast $-structure; Hopf $\ast $-algebra
@article{10_21136_CMJ_2018_0319_17,
author = {Mohammed, Hassan Suleman Esmael and Chen, Hui-Xiang},
title = {The structures of {Hopf} $\ast $-algebra on {Radford} algebras},
journal = {Czechoslovak Mathematical Journal},
pages = {365--377},
publisher = {mathdoc},
volume = {69},
number = {2},
year = {2019},
doi = {10.21136/CMJ.2018.0319-17},
mrnumber = {3959950},
zbl = {07088790},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0319-17/}
}
TY - JOUR AU - Mohammed, Hassan Suleman Esmael AU - Chen, Hui-Xiang TI - The structures of Hopf $\ast $-algebra on Radford algebras JO - Czechoslovak Mathematical Journal PY - 2019 SP - 365 EP - 377 VL - 69 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0319-17/ DO - 10.21136/CMJ.2018.0319-17 LA - en ID - 10_21136_CMJ_2018_0319_17 ER -
%0 Journal Article %A Mohammed, Hassan Suleman Esmael %A Chen, Hui-Xiang %T The structures of Hopf $\ast $-algebra on Radford algebras %J Czechoslovak Mathematical Journal %D 2019 %P 365-377 %V 69 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0319-17/ %R 10.21136/CMJ.2018.0319-17 %G en %F 10_21136_CMJ_2018_0319_17
Mohammed, Hassan Suleman Esmael; Chen, Hui-Xiang. The structures of Hopf $\ast $-algebra on Radford algebras. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 365-377. doi: 10.21136/CMJ.2018.0319-17
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