On Some Twisted Chevalley Groups Over Laurent Polynomial Rings
1981 ◽
Vol 33
(5)
◽
pp. 1182-1201
◽
Keyword(s):
We let Z denote the ring of rational integers, Q the field of rational numbers, R the field of real numbers, and C the field of complex numbers.For elements e and f of a Lie algebra, [e,f] denotes the bracket of e and f. A generalized Cartan matrix C = (cij) is a square matrix of integers satisfying cii = 2, cij ≦ 0 if i ≠ j, cij = 0 if and only if cji = 0. For any generalized Cartan matrix C = (cij) of size l × l and for any field F of characteristic zero, denotes the Lie algebra over F generated by 3l generators e1, …, el, h1, …, hl, f1, …, fl with the defining relationsfor all i, j,for distinct i, j.
1969 ◽
Vol 21
◽
pp. 1309-1318
◽
1969 ◽
Vol 21
◽
pp. 1432-1454
◽
Keyword(s):
Keyword(s):
2015 ◽
Vol 92
(1)
◽
pp. 77-93
1956 ◽
Vol 52
(1)
◽
pp. 35-38
◽
Keyword(s):