Construction of Lie algebras and invariant tensors through abelian semigroups

Fernando Izaurieta; Eduardo Rodríguez; Patricio Salgado

doi:10.1088/1742-6596/134/1/012005

Construction of Lie algebras and invariant tensors through abelian semigroups

Fernando Izaurieta^*
, Eduardo Rodríguez
, Patricio Salgado

^*Corresponding author for this work

Departamento de Física
Universidad de Concepción

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The Abelian Semigroup Expansion Method for Lie Algebras is briefly explained. Given a Lie Algebra and a discrete abelian semigroup, the method allows us to directly build new Lie Algebras with their corresponding non-trivial invariant tensors. The Method is especially interesting in the context of M-Theory, because it allows us to construct M-Algebra Invariant Chern-Simons/Transgression Lagrangians in d = 11.

Original language	English
Article number	012005
Journal	Journal of Physics: Conference Series
Volume	134
DOIs	https://doi.org/10.1088/1742-6596/134/1/012005
State	Published - 2008
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1742-6596/134/1/012005

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title = "Construction of Lie algebras and invariant tensors through abelian semigroups",

abstract = "The Abelian Semigroup Expansion Method for Lie Algebras is briefly explained. Given a Lie Algebra and a discrete abelian semigroup, the method allows us to directly build new Lie Algebras with their corresponding non-trivial invariant tensors. The Method is especially interesting in the context of M-Theory, because it allows us to construct M-Algebra Invariant Chern-Simons/Transgression Lagrangians in d = 11.",

author = "Fernando Izaurieta and Eduardo Rodr{\'i}guez and Patricio Salgado",

year = "2008",

doi = "10.1088/1742-6596/134/1/012005",

language = "English",

volume = "134",

journal = "Journal of Physics: Conference Series",

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T1 - Construction of Lie algebras and invariant tensors through abelian semigroups

AU - Izaurieta, Fernando

AU - Rodríguez, Eduardo

AU - Salgado, Patricio

PY - 2008

Y1 - 2008

N2 - The Abelian Semigroup Expansion Method for Lie Algebras is briefly explained. Given a Lie Algebra and a discrete abelian semigroup, the method allows us to directly build new Lie Algebras with their corresponding non-trivial invariant tensors. The Method is especially interesting in the context of M-Theory, because it allows us to construct M-Algebra Invariant Chern-Simons/Transgression Lagrangians in d = 11.

AB - The Abelian Semigroup Expansion Method for Lie Algebras is briefly explained. Given a Lie Algebra and a discrete abelian semigroup, the method allows us to directly build new Lie Algebras with their corresponding non-trivial invariant tensors. The Method is especially interesting in the context of M-Theory, because it allows us to construct M-Algebra Invariant Chern-Simons/Transgression Lagrangians in d = 11.

UR - https://www.scopus.com/pages/publications/65249116960

U2 - 10.1088/1742-6596/134/1/012005

DO - 10.1088/1742-6596/134/1/012005

M3 - Article

AN - SCOPUS:65249116960

SN - 1742-6588

VL - 134

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

M1 - 012005

ER -

Construction of Lie algebras and invariant tensors through abelian semigroups

Abstract

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