EXAMPLES OF FINITE-DIMENSIONAL POINTED HOPF ALGEBRAS IN CHARACTERISTIC 2
Glasgow mathematical journal, Tome 64 (2022) no. 1, pp. 65-78
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We present new examples of finite-dimensional Nichols algebras over fields of characteristic 2 from braided vector spaces that are not of diagonal type, admit realizations as Yetter–Drinfeld modules over finite abelian groups, and are analogous to Nichols algebras of finite Gelfand–Kirillov dimension in characteristic 0. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.
ANDRUSKIEWITSCH, NICOLÁS; BAGIO, DIRCEU; FLORA, SARADIA DELLA; FLÔRES, DAIANA. EXAMPLES OF FINITE-DIMENSIONAL POINTED HOPF ALGEBRAS IN CHARACTERISTIC 2. Glasgow mathematical journal, Tome 64 (2022) no. 1, pp. 65-78. doi: 10.1017/S0017089520000579
@article{10_1017_S0017089520000579,
author = {ANDRUSKIEWITSCH, NICOL\'AS and BAGIO, DIRCEU and FLORA, SARADIA DELLA and FL\^ORES, DAIANA},
title = {EXAMPLES {OF} {FINITE-DIMENSIONAL} {POINTED} {HOPF} {ALGEBRAS} {IN} {CHARACTERISTIC} 2},
journal = {Glasgow mathematical journal},
pages = {65--78},
year = {2022},
volume = {64},
number = {1},
doi = {10.1017/S0017089520000579},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000579/}
}
TY - JOUR AU - ANDRUSKIEWITSCH, NICOLÁS AU - BAGIO, DIRCEU AU - FLORA, SARADIA DELLA AU - FLÔRES, DAIANA TI - EXAMPLES OF FINITE-DIMENSIONAL POINTED HOPF ALGEBRAS IN CHARACTERISTIC 2 JO - Glasgow mathematical journal PY - 2022 SP - 65 EP - 78 VL - 64 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000579/ DO - 10.1017/S0017089520000579 ID - 10_1017_S0017089520000579 ER -
%0 Journal Article %A ANDRUSKIEWITSCH, NICOLÁS %A BAGIO, DIRCEU %A FLORA, SARADIA DELLA %A FLÔRES, DAIANA %T EXAMPLES OF FINITE-DIMENSIONAL POINTED HOPF ALGEBRAS IN CHARACTERISTIC 2 %J Glasgow mathematical journal %D 2022 %P 65-78 %V 64 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000579/ %R 10.1017/S0017089520000579 %F 10_1017_S0017089520000579
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