How orbits of SU(N) can describe rotations in SO(6) Export

@article{citeulike:5315902, abstract = {This paper analyses the geometry of the Lie algebra of SO(6) by making use of its homomorphism with SU(4). We study the vector space of 4x4 traceless, Hermitian matrices from four different viewpoints and examine the connections between them. We review the strata of this space under group transformations using established techniques for su(N) algebras. We focus on orbits of special types of vectors and their interpretation as rotations of SO(6) spinors.}, author = {Barnes, K. J. and Hamilton-Charlton, J. and Lawrence, T. R.}, citeulike-article-id = {5315902}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/0305-4470/34/49/310}, doi = {10.1088/0305-4470/34/49/310}, journal = {Journal of Physics A: Mathematical and General}, keywords = {lie, math}, number = {49}, pages = {10881--10900}, posted-at = {2009-08-01 02:48:34}, priority = {1}, title = {How orbits of SU(N) can describe rotations in SO(6)}, url = {http://dx.doi.org/10.1088/0305-4470/34/49/310}, volume = {34}, year = {2001} }

TY - JOUR ID - citeulike:5315902 L3 - citeulike-article-id:5315902 N2 - This paper analyses the geometry of the Lie algebra of SO(6) by making use of its homomorphism with SU(4). We study the vector space of 4x4 traceless, Hermitian matrices from four different viewpoints and examine the connections between them. We review the strata of this space under group transformations using established techniques for su(N) algebras. We focus on orbits of special types of vectors and their interpretation as rotations of SO(6) spinors. IS - 49 JF - Journal of Physics A: Mathematical and General EP - 10900 TI - How orbits of SU(N) can describe rotations in SO(6) VL - 34 SP - 10881 KW - lie KW - math AU - Barnes, KJ AU - Hamilton-Charlton, J AU - Lawrence, TR PY - 2001/// UR - http://dx.doi.org/10.1088/0305-4470/34/49/310 ER -