Mathematica and Heisenberg Type Superalgebras
Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 115-130
With the support of software Mathematica 4.0 we obtain important properties of Heisenberg type superalgebras, this type of superalgebras corresponds to the family of Lie superalgebras that generalize Heisenberg algebras. In particular, we obtain concrete classifications for arbitrary dimension of even part and dimension of odd part up to three.
DOI:
10.5802/jolt.402
Classification:
17B30, 17B60
Keywords: Lie superalgebra, nilpotent, classification, Heisenberg algebras
Keywords: Lie superalgebra, nilpotent, classification, Heisenberg algebras
@article{JOLT_2006_16_1_a9,
author = {L. M. Camacho and J. R. G\'omez and L. M. Camacho and R. M. Navarro and I. Rodr{\'\i}guez},
title = {Mathematica and {Heisenberg} {Type} {Superalgebras}},
journal = {Journal of Lie Theory},
pages = {115--130},
year = {2006},
volume = {16},
number = {1},
doi = {10.5802/jolt.402},
zbl = {1116.17007},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.402/}
}
TY - JOUR AU - L. M. Camacho AU - J. R. Gómez AU - L. M. Camacho AU - R. M. Navarro AU - I. Rodríguez TI - Mathematica and Heisenberg Type Superalgebras JO - Journal of Lie Theory PY - 2006 SP - 115 EP - 130 VL - 16 IS - 1 UR - https://jolt.centre-mersenne.org/articles/10.5802/jolt.402/ DO - 10.5802/jolt.402 ID - JOLT_2006_16_1_a9 ER -
%0 Journal Article %A L. M. Camacho %A J. R. Gómez %A L. M. Camacho %A R. M. Navarro %A I. Rodríguez %T Mathematica and Heisenberg Type Superalgebras %J Journal of Lie Theory %D 2006 %P 115-130 %V 16 %N 1 %U https://jolt.centre-mersenne.org/articles/10.5802/jolt.402/ %R 10.5802/jolt.402 %F JOLT_2006_16_1_a9
L. M. Camacho; J. R. Gómez; L. M. Camacho; R. M. Navarro; I. Rodríguez. Mathematica and Heisenberg Type Superalgebras. Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 115-130. doi: 10.5802/jolt.402
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