Geodesic
KERNELS OF REPRESENTATIONS AND COIDEAL SUBALGEBRAS OF HOPF ALGEBRAS
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 107-119

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DOI

We define left and right kernels of representations of Hopf algebras. In the case of group algebras, left and right kernels coincide and they are the usual kernels of modules. In the general case, we show that these kernels coincide with the categorical left and right Hopf kernels of morphisms of Hopf algebras defined in Andruskiewitsch and Devoto [Extensions of Hopf algebras, Algebra i Analiz7 (1995), 22–69]. Brauer's theorem for kernels over group algebras is generalised to Hopf algebras.
DOI : 10.1017/S0017089511000395
Mots-clés : MSC 16W30 
BURCIU, SEBASTIAN. KERNELS OF REPRESENTATIONS AND COIDEAL SUBALGEBRAS OF HOPF ALGEBRAS. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 107-119. doi: 10.1017/S0017089511000395
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     title = {KERNELS {OF} {REPRESENTATIONS} {AND} {COIDEAL} {SUBALGEBRAS} {OF} {HOPF} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {107--119},
     year = {2012},
     volume = {54},
     number = {1},
     doi = {10.1017/S0017089511000395},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000395/}
}
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