Polycharacters of Cocommutative Hopf Algebras
Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 11-24
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In this paper we extend a well-known theorem of M. Scheunert on skew-symmetric bicharacters of groups to the case of skew-symmetric bicharacters on arbitrary cocommutative Hopf algebras over a field of characteristic not 2. We also classify polycharacters on (restricted) enveloping algebras and bicharacters on divided power algebras.
Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan. Polycharacters of Cocommutative Hopf Algebras. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 11-24. doi: 10.4153/CMB-2002-002-3
@article{10_4153_CMB_2002_002_3,
author = {Bahturin, Yuri and Kochetov, Mikhail and Montgomery, Susan},
title = {Polycharacters of {Cocommutative} {Hopf} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {11--24},
year = {2002},
volume = {45},
number = {1},
doi = {10.4153/CMB-2002-002-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-002-3/}
}
TY - JOUR AU - Bahturin, Yuri AU - Kochetov, Mikhail AU - Montgomery, Susan TI - Polycharacters of Cocommutative Hopf Algebras JO - Canadian mathematical bulletin PY - 2002 SP - 11 EP - 24 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-002-3/ DO - 10.4153/CMB-2002-002-3 ID - 10_4153_CMB_2002_002_3 ER -
%0 Journal Article %A Bahturin, Yuri %A Kochetov, Mikhail %A Montgomery, Susan %T Polycharacters of Cocommutative Hopf Algebras %J Canadian mathematical bulletin %D 2002 %P 11-24 %V 45 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-002-3/ %R 10.4153/CMB-2002-002-3 %F 10_4153_CMB_2002_002_3
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