Published September 1988 | Version v1
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Cohomology theory and deformations of Z2-graded Lie algebras

  • 1. International Centre for Theoretical Physics, Trieste (Italy)
  • 2. Delhi Univ. (India). Dept. of Physics and Astrophysics

Description

The algebraic cohomology and the spectral sequences for a Z2-graded Lie algebra are briefly reviewed. The reducibility property of a strongly semisimple Lie superalgebra is established. The role of second and third cohomologies in the deformation of a Lie superalgebra is discussed. Using spectral sequences, the second cohomology of full BRS algebra is shown to be F1 and the third cohomology being trivial implying that osp(1,2) is the only graded Lie algebra obtained by deformation of the full BRS algebra. (author). 12 refs

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MF available from INIS under the Report Number.

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Additional details

Publishing Information

Imprint Pagination
19 p.
Report number
IC--88/314

INIS

Country of Publication
International Atomic Energy Agency (IAEA)
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
20019749
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; GRADED LIE GROUPS; GROUP THEORY
Descriptors DEC
LIE GROUPS; MATHEMATICS; SYMMETRY GROUPS