Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Jiri Patera"'
Publikováno v:
Journal of Mathematical Physics. 35:405-425
G‐graded contractions of the complex Lie algebra B2 and of its real forms are considered. It is found that a particular G=Z2×Z2 is a proper choice of the grading group preserved when graded contractions leading to Lie algebras of the kinematical g
Publikováno v:
Journal of Mathematical Physics. 21:2335-2341
A recently discovered relation between pairs of semisimple Lie algebras is further investigated. This relation, which is called subjoining and denoted by ’’≳’’, is a generalization of inclusion, where a subalgebra is embedded in an algebra.
Publikováno v:
Scopus-Elsevier
All invariant functions of the group generators (generalized Casimir operators) are found for all real algebras of dimension up to five and for all real nilpotent algebras of dimension six.
Publikováno v:
Journal of Mathematical Physics. 23:490-494
Explicit expressions for codimensions of orbits and strata of elements of complex Lie algebras gl(n, C), o(n, C), sp(2n, C) and real Lie algebras gl(n, R), gl(n, H), u( p, q), o( p, q), o*(2n), sp(2n, R), and sp(2p, 2q) are given. They make it possib
Publikováno v:
Journal of Physics A: Mathematical and General. 15:1063-1086
Versal deformations of normal forms of elements of real classical Lie algebras o(p,q), sp(2n,R), o*(2n), sp(2p,2q) and u(p,q) are computed. Examples involving the Lie algebras o(p,q), p+q
Autor:
Jiri Patera, Pavel Winternitz
Publikováno v:
Journal of Mathematical Physics. 18:1449-1455
The Lie subalgebras of all real Lie algebras of dimension d?4 are classified into equivalence classes under their groups of inner automorphisms. Tables of representatives of each conjugacy class are given.
Publikováno v:
Group Theoretical Methods in Physics ISBN: 9783540077893
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ad548d83d898def1cb4ed6bd55eff35
https://doi.org/10.1007/3-540-07789-8_52
https://doi.org/10.1007/3-540-07789-8_52
Publikováno v:
Scopus-Elsevier
Elements of the classical complex and real Lie and Jordan algebras with involutions are classified into conjugacy classes under the action of the corresponding classical Lie group. Normal forms of representatives of each conjugacy class are chosen so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29bfe40919a301d9c1dc0be872ad32a2
http://www.scopus.com/inward/record.url?eid=2-s2.0-36749118959&partnerID=MN8TOARS
http://www.scopus.com/inward/record.url?eid=2-s2.0-36749118959&partnerID=MN8TOARS