Classification of All Simple Graded Lie Algebras Whose Lie Algebra Is Reductive. 1.

Scheunert, M.; Nahm, W.; Rittenberg, V.

doi:10.1063/1.523108

Classification of All Simple Graded Lie Algebras Whose Lie Algebra Is Reductive. 1.

Mar, 1976

53 pages

Published in:

J.Math.Phys. 17 (1976) 1626

DOI:

10.1063/1.523108

Report number:

BONN-HE-76-7

View in:

pdf

reference search86 citations

Citations per year

Abstract: (AIP)

All simple graded Lie algebras whose Lie algebra is reductive are presented, and the classification theorem is proved. Several theorems which may show up to be useful in a different context are also included.

ALGEBRA: LIE
GROUP THEORY: COMMUTATION RELATIONS
commutation relations

References(8)

Figures(0)

- Bull.Am.Math.Soc. 78 267

- Bull.Am.Math.Soc. 70 406

Dual Theory for Free Fermions

Pierre Ramond
(
- Fermilab
)

- Phys.Rev.D 3 (1971) 2415-2418
•
DOI:
- 10.1103/PhysRevD.3.2415

Factorizable dual model of pions

A. Neveu
(
- Princeton U.
)
,
J.H. Schwarz
(
- Princeton U.
)

- Nucl.Phys.B 31 (1971) 86-112
•
DOI:
- 10.1016/0550-3213(71)90448-2

Is the Neutrino a Goldstone Particle?

D.V. Volkov
(
- Kharkov, KIPT
)
,
V.P. Akulov
(
- Kharkov, KIPT
)

- Phys.Lett.B 46 (1973) 109-110,
- also in *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 11-12
•
DOI:
- 10.1016/0370-2693(73)90490-5

Supergauge Transformations in Four-Dimensions

J. Wess
(
- Karlsruhe U.
)
,
B. Zumino
(
- CERN
)

- Nucl.Phys.B 70 (1974) 39-50,
- In *Ferrara, S. (ed.): Supersymmetry, Vol. 1*, 13-24,
•
DOI:
- 10.1016/0550-3213(74)90355-1

Graded Lie Algebras in Mathematics and Physics (Bose-Fermi Symmetry)

- Rev.Mod.Phys. 47 (1975) 573,
•
DOI:
- 10.1103/RevModPhys.47.573

Semisimple Graded Lie Algebras

A. Pais
(
- Rockefeller U.
)
,
V. Rittenberg
(
- Rockefeller U.
)

- J.Math.Phys. 16 (1975) 2062,
- J.Math.Phys. 17 (1976) 598 (erratum)
•
DOI:
- 10.1063/1.522421