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In this paper we show that some 3-dimensional isometry algebras, specifically those of type I, II, III and V (according Bianchi's classification), can be obtained as expansions of the isometries in 2 dimensions.
G.E. Forsythe, “SWAC computes 126 distinct semigroups of order 4”, Proc. Amer. Math. Soc. 6, (1955) 443–447
1955
Earlier work this paper cites.
T.S. Motzkin and J.L. Selfridge, “Semigroups of order five”, The November meeting in Los Angeles, Bull. Amer. Math. Soc. 62 (1) (1956) 13–23
1956
Earlier work this paper cites.
R. Plemmons, “Construction and analysis of non-equivalent finite semigroups” (1970) Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967) pp. 223–228 Pergamon, Oxford
1967
Earlier work this paper cites.
R. Plemmons, “There are 15973 semigroups of order 6,” Math. Algorithms 2, (1967) 2–17
1967
Earlier work this paper cites.
R. Plemmons, “A survey of computer applications to semigroups and related structures”, ACM SIGSAM 12, (1969) 28-39
1969
Earlier work this paper cites.
H. Jürgensen, P. Wick, “Die Halbgruppen der Ordnungen ≤ 7”, Semigroup Forum 14 (1977), 1, 69–79
1977
Earlier work this paper cites.
S. Satoh, K. Yama, M. Tokizawa, “Semigroups of order 8,” Semigroup Forum 49 (1994), 1, 7–29
1994
Earlier work this paper cites.
M. Hatsuda and M. Sakaguchi, “Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction,” Prog. Theor. Phys. 109
2003
Cited alongside, same era.
J. A. de Azcarraga, J. M. Izquierdo, M. Picon and O. Varela, “Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity,” Nucl. Phys. B 662
2003
Cited alongside, same era.
J. A. de Azcarraga, J. M. Izquierdo, M. Picon and O. Varela, “Extensions, expansions, Lie algebra cohomology and enlarged superspaces,” Class. Quant. Grav. 21
2004
Cited alongside, same era.
F. Izaurieta, E. Rodriguez and P. Salgado, “Expanding Lie (super)algebras through Abelian semigroups,” J. Math. Phys. 47
2006
Cited alongside, same era.
J. A. de Azcarraga, J. M. Izquierdo, M. Picon and O. Varela, “Expansions of algebras and superalgebras and some applications,” Int. J. Theor. Phys. 46
2009
Later among the works it cites.
2009
Later among the works it cites.
R. Caroca, N. Merino and P. Salgado, “S-Expansion of Higher-Order Lie Algebras,” J. Math. Phys. 50
2009
Later among the works it cites.
2009
Later among the works it cites.
A. Distler, T. Kelsey, “The monoids of orders eight, nine & ten”, Ann. Math. Artif. Intell. 56 (2009), 1, 3–21
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2007
Cited alongside, same era.
F. Izaurieta, E. Rodriguez and P. Salgado, “Eleven-dimensional gauge theory for the M algebra as an Abelian semigroup expansion of osp(32/1),” Eur. Phys. J. C 54
2008
Cited alongside, same era.
A. Distler and T. Kelsey, “The monoids of order eight and nine,” In S. Autexier, J. Campbell, J. Rubio, V. Sorge, M. Suzuki, and F. Wiedijk (Eds), Artificial Intelligence and Symbolic Computation, 8th International Conference, AISC 2008, Birmingham, July, 2004, Proceedings, volume 5144 of “Lecture Notes in Computer Science,” 61–76, Springer, 2008
2008
Cited alongside, same era.
L. Bianchi, “Sugli spazi a tre dimensioni che ammettono un gruppo continuo di movimenti”, Memorie di Matematica e di Fisica della Societa Italiana delle Scienze, Serie Terza, Tomo XI, pp. 267–352 (1898)
Cited in the paper.
A. Distler, T. Kelsey and J.D. Mitchell, http://www-circa.mcs.st-and.ac.uk/
Cited in the paper.
J. Hildebrant, Handbook of finite semigroup programs
Cited in the paper.
R. Caroca, M. Cataldo, I. Kondrashuk, N. Merino and P. Salgado, ”Four-dimensional metric as S-expansion of two-dimensional metric of negative curvature” Work in progress
Cited in the paper.
Cited in the paper.
2009
Later among the works it cites.
A. Distler and J.D. Mitchell, “Smallsemi - A library of small semigroups”, http://www-history.mcs.st-and.ac.uk/∼jamesm/smallsemi/, Feb 2010
2010
Later among the works it cites.
R. Caroca, N. Merino, P. Salgado and O. Valdivia, “Generating infinite-dimensional algebras from loop algebras by expanding Maurer-Cartan forms,” J. Math. Phys. 52
2011
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