Cayley-Klein algebras as graded contractions of SO(N+1) - INSPIRE

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Cayley-Klein algebras as graded contractions of SO(N+1)

Dec, 1993

14 pages

Published in:

J.Phys. 27 (1994) 2515,
J.Phys.A 27 (1994) 2515-2526

e-Print:

hep-th/9312126 [hep-th]

DOI:

10.1088/0305-4470/27/7/027

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Abstract: (desy)

We study

\Bbb Z_2~{\otimes N}

graded contractions of the real compact simple Lie algebra

so(N+1)

, and we identify within them the Cayley-Klein algebras as a naturally distinguished subset.

Note:

Revised version •
13 pages, Preprint UVA, AMS-TeX

References(10)

Figures(0)

On the Contraction of groups and their represenations

E. Inonu
(
- Princeton U.
)
,
Eugene P. Wigner
(
- Princeton U.
)

- Proc.Nat.Acad.Sci. 39 (1953) 510-524
•
DOI:
- 10.1073/pnas.39.6.510

- Proc.Nat.Acad.Sci. 40 119

- J.Math.Phys. 2 1

- J.Phys.A 24 52

Discrete and continuous graded contractions of representations of Lie algebras

R.V. Moody
(
- Alberta U.
)
,
J. Patera
(
- Montreal U., CRM
)

- J.Phys.A 24 (1991) 2227-2258

- Linear Algebra Appl. 112 87

- Proc.Edin.Math.Soc. 28 25

Locally Operating Realizations of Transformation Lie Groups

Jose F. Carinena
(
- Zaragoza U.
)
,
Mariano A. Del Olmo
(
- Valladolid U.
)
,
Mariano Santander
(
- Valladolid U.
)

- J.Math.Phys. 26 (1985) 2096
•
DOI:
- 10.1063/1.526974

- J.Phys.A 26 5801

- Comput.Phys.Commun. 76 389