TY - JOUR
T1 - Involutory hopf algebras
AU - Passman, D. S.
AU - Quinn, Declan
PY - 1995/7
Y1 - 1995/7
N2 - In 1975, Kaplansky conjectured that a finite-dimensional semisimple Hopf algebra is necessarily involutory. Twelve years later, Larson and Radford proved the conjecture in characterisitic 0 and obtained significant partial results in positive characteristics. The goal of this paper is to offer an efficient proof of these results using rather minimal prerequisites, no "harpoons", and gratifyingly few "hits".
AB - In 1975, Kaplansky conjectured that a finite-dimensional semisimple Hopf algebra is necessarily involutory. Twelve years later, Larson and Radford proved the conjecture in characterisitic 0 and obtained significant partial results in positive characteristics. The goal of this paper is to offer an efficient proof of these results using rather minimal prerequisites, no "harpoons", and gratifyingly few "hits".
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U2 - 10.1090/S0002-9947-1995-1283560-3
DO - 10.1090/S0002-9947-1995-1283560-3
M3 - Article
AN - SCOPUS:0039230161
SN - 0002-9947
VL - 347
SP - 2657
EP - 2668
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 7
ER -