RT info:eu-repo/semantics/article
T1 Clifford elements in Lie algebras
A1 Brox, Jose
A1 Fernández López, Antonio
A1 Gómez Lozano, Miguel
K1 Matemáticas
K1 Anillos primos, Anillos con involución, Álgebras de Lie, elementos Jordan
K1 1201.05 Campos, Anillos, Álgebras
K1 1201.09 Álgebra de Lie
K1 1201.12 Álgebras no Asociativas
AB Let L be a Lie algebra over a field F of characteristic zero or p > 3 . An element c ∈ L is called Clifford if adc^3 = 0 and its associated Jordan algebra Lc is the Jordan algebra F ⊕ X defined by a symmetric bilinear form on a vector space X over F . In this paper we prove the following result: Let R be a centrally closed prime ring R of characteristic zero or p > 3 with involution ∗ and let c ∈ Skew(R, ∗) be such that c^3 = 0 , c^2 != 0 and c^2kc = ckc^2 for all k ∈ Skew(R, ∗) . Then c is a Clifford element of the Lie algebra Skew(R, ∗) .
PB Heldermann Verlag
YR 2017
FD 2017
LK https://uvadoc.uva.es/handle/10324/66183
UL https://uvadoc.uva.es/handle/10324/66183
LA spa
NO Journal of Lie Theory, 2017, vol. 27, no. 1, p. 283-296
NO Producción Científica
DS UVaDOC
RD 15-may-2024