1Dept. of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A. 2Dept. of Mathematics, College of Charleston, Charleston, SC 29424, U.S.A. 3We classify the Lie algebras that are graded by the nonreduced root system BC 4and determine their central extensions, derivations, and invariant forms. 5[
Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 91-132
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Georgia Benkart; Oleg Smirnov. Lie Algebras Graded by the Root System BC1. Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 91-132. http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a6/
@article{JOLT_2003_13_1_a6,
author = {Georgia Benkart and Oleg Smirnov},
title = {Lie {Algebras} {Graded} by the {Root} {System} {BC\protect\textsubscript{1}}},
journal = {Journal of Lie Theory},
pages = {91--132},
year = {2003},
volume = {13},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a6/}
}
TY - JOUR
AU - Georgia Benkart
AU - Oleg Smirnov
TI - Lie Algebras Graded by the Root System BC1
JO - Journal of Lie Theory
PY - 2003
SP - 91
EP - 132
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a6/
ID - JOLT_2003_13_1_a6
ER -
%0 Journal Article
%A Georgia Benkart
%A Oleg Smirnov
%T Lie Algebras Graded by the Root System BC1
%J Journal of Lie Theory
%D 2003
%P 91-132
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a6/
%F JOLT_2003_13_1_a6
We classify the Lie algebras that are graded by the nonreduced root system BC1 and determine their central extensions, derivations, and invariant forms.