Geodesic
On minimal faithful representations of a class of nilpotent lie algebras
Filomat, Tome 35 (2021) no. 5, p. 1671

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DOI

In this work we consider 2-step nilradicals of parabolic subalgebras of the simple Lie algebra A n and describe a new family of faithful nil-representations of the nilradicals n a,c , a, c ∈ N. We obtain a sharp upper bound for the minimal dimension µ(n a,c) and for several pairs (a, c) we obtain µ(n a,c).
DOI : 10.2298/FIL2105671A
Classification : 15A06, 17B10, 17B30, 17B45
Keywords: Nilrepresentation, Minimal Faithful Representation, Nilpotent Lie algebras, Nilradicals 
María Alejandra Alvarez; Nadina Rojas. On minimal faithful representations of a class of nilpotent lie algebras. Filomat, Tome 35 (2021) no. 5, p. 1671 . doi: 10.2298/FIL2105671A
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     author = {Mar{\'\i}a Alejandra Alvarez and Nadina Rojas},
     title = {On minimal faithful representations of a class of nilpotent lie algebras},
     journal = {Filomat},
     pages = {1671 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105671A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105671A/}
}
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