Generalizing the and 2D-conformal algebras by expanding the Virasoro algebra
R Caroca, P Concha, E Rodríguez… - The European Physical …, 2018 - Springer
By means of the Lie algebra expansion method, the centrally extended conformal algebra in
two dimensions and the bms _ 3 bms 3 algebra are obtained from the Virasoro algebra. We …
two dimensions and the bms _ 3 bms 3 algebra are obtained from the Virasoro algebra. We …
On the hidden maxwell superalgebra underlying supergravity
DM Peñafiel, L Ravera - Fortschritte der Physik, 2017 - Wiley Online Library
In this work, we expand the hidden‐Lorentz superalgebra underlying supergravity, reaching
a (hidden) Maxwell superalgebra. The latter can be viewed as an extension involving …
a (hidden) Maxwell superalgebra. The latter can be viewed as an extension involving …
General properties of the expansion methods of Lie algebras
L Andrianopoli, N Merino, F Nadal… - Journal of Physics A …, 2013 - iopscience.iop.org
The study of the relation between Lie algebras and groups, and especially the derivation of
new algebras from them, is a problem of great interest in mathematics and physics, because …
new algebras from them, is a problem of great interest in mathematics and physics, because …
Inönü–Wigner contraction and supergravity
PK Concha, O Fierro, EK Rodríguez - The European Physical Journal C, 2017 - Springer
We present a generalization of the standard Inönü–Wigner contraction by rescaling not only
the generators of a Lie superalgebra but also the arbitrary constants appearing in the …
the generators of a Lie superalgebra but also the arbitrary constants appearing in the …
On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
R Caroca, P Concha, O Fierro, E Rodríguez - The European Physical …, 2020 - Springer
In this work we obtain known and new supersymmetric extensions of diverse asymptotic
symmetries defined in three spacetime dimensions by considering the semigroup expansion …
symmetries defined in three spacetime dimensions by considering the semigroup expansion …
An analytic method for S‐Expansion involving resonance and reduction
MC Ipinza, F Lingua, DM Peñafiel… - Fortschritte der …, 2016 - Wiley Online Library
In this paper we describe an analytic method able to give the multiplication table (s) of the
set (s) involved in an S‐expansion process (with either resonance or 0S‐resonant …
set (s) involved in an S‐expansion process (with either resonance or 0S‐resonant …
Bianchi spaces and their three-dimensional isometries as S-expansions of two-dimensional isometries
R Caroca, I Kondrashuk, N Merino… - Journal of Physics A …, 2013 - iopscience.iop.org
In this paper we show that certain three-dimensional isometry algebras, specifically those of
type I, II, III and V (according to Bianchi's classification), can be obtained as expansions of …
type I, II, III and V (according to Bianchi's classification), can be obtained as expansions of …
Infinite S-expansion with ideal subtraction and some applications
DM Peñafiel, L Ravera - Journal of Mathematical Physics, 2017 - pubs.aip.org
According to the literature, the S-expansion procedure involving a finite semigroup is valid
no matter what the structure of the original Lie (super) algebra is; however, when something …
no matter what the structure of the original Lie (super) algebra is; however, when something …
Generating higher-order Lie algebras by expanding Maurer–Cartan forms
By means of a generalization of the Maurer–Cartan expansion method, we construct a
procedure to obtain expanded higher-order Lie algebras. The expanded higher-order …
procedure to obtain expanded higher-order Lie algebras. The expanded higher-order …
On a Java library to perform S-expansions of Lie algebras
C Inostroza, I Kondrashuk, N Merino… - Journal of Physics …, 2018 - iopscience.iop.org
The S-expansion method is a generalization of the Inönü-Wigner (IW) contraction that allows
to study new non-trivial relations between different Lie algebras. Basically, this method …
to study new non-trivial relations between different Lie algebras. Basically, this method …