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Varieties of nilpotent elements for simple Lie algebras I: Good primes

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Varieties of nilpotent elements for simple Lie algebras I: Good primes. / Benson, David J.; Bergonio, Phil; Boe, Brian D. et al.
In: Journal of Algebra, Vol. 280, No. 2, 15.10.2004, p. 719-737.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Benson, DJ, Bergonio, P, Boe, BD, Chastkofsky, L, Cooper, B, Guy, GM, Hyun, JJ, Jungster, J, Matthews, G, Mazza, N, Nakano, DK & Platt, K 2004, 'Varieties of nilpotent elements for simple Lie algebras I: Good primes', Journal of Algebra, vol. 280, no. 2, pp. 719-737. https://doi.org/10.1016/j.jalgebra.2004.05.023

APA

Benson, D. J., Bergonio, P., Boe, B. D., Chastkofsky, L., Cooper, B., Guy, G. M., Hyun, J. J., Jungster, J., Matthews, G., Mazza, N., Nakano, D. K., & Platt, K. (2004). Varieties of nilpotent elements for simple Lie algebras I: Good primes. Journal of Algebra, 280(2), 719-737. https://doi.org/10.1016/j.jalgebra.2004.05.023

Vancouver

Benson DJ, Bergonio P, Boe BD, Chastkofsky L, Cooper B, Guy GM et al. Varieties of nilpotent elements for simple Lie algebras I: Good primes. Journal of Algebra. 2004 Oct 15;280(2):719-737. doi: 10.1016/j.jalgebra.2004.05.023

Author

Benson, David J. ; Bergonio, Phil ; Boe, Brian D. et al. / Varieties of nilpotent elements for simple Lie algebras I : Good primes. In: Journal of Algebra. 2004 ; Vol. 280, No. 2. pp. 719-737.

Bibtex

@article{1d23e3514b324c288fdeaf1dceb6adb0,
title = "Varieties of nilpotent elements for simple Lie algebras I: Good primes",
abstract = "Let G be a simple algebraic group over k = ℂ, or {\=F}p where p is good. Set g = Lie G. Given r ∈ ℕ and a faithful (restricted) representation ρ: g → gl(V), one can define a variety of nilpotent elements Nr,ρ(g) = {x ∈ g: ρ(x)r = 0}. In this paper we determine this variety when ρ is an irreducible representation of minimal dimension or the adjoint representation.",
author = "Benson, {David J.} and Phil Bergonio and Boe, {Brian D.} and Leonard Chastkofsky and Bobbe Cooper and Guy, {G. Michael} and Hyun, {Jo Jang} and Jerome Jungster and Graham Matthews and Nadia Mazza and Nakano, {Daniel K.} and Kenyon Platt",
year = "2004",
month = oct,
day = "15",
doi = "10.1016/j.jalgebra.2004.05.023",
language = "English",
volume = "280",
pages = "719--737",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",
number = "2",

}

RIS

TY - JOUR

T1 - Varieties of nilpotent elements for simple Lie algebras I

T2 - Good primes

AU - Benson, David J.

AU - Bergonio, Phil

AU - Boe, Brian D.

AU - Chastkofsky, Leonard

AU - Cooper, Bobbe

AU - Guy, G. Michael

AU - Hyun, Jo Jang

AU - Jungster, Jerome

AU - Matthews, Graham

AU - Mazza, Nadia

AU - Nakano, Daniel K.

AU - Platt, Kenyon

PY - 2004/10/15

Y1 - 2004/10/15

N2 - Let G be a simple algebraic group over k = ℂ, or F̄p where p is good. Set g = Lie G. Given r ∈ ℕ and a faithful (restricted) representation ρ: g → gl(V), one can define a variety of nilpotent elements Nr,ρ(g) = {x ∈ g: ρ(x)r = 0}. In this paper we determine this variety when ρ is an irreducible representation of minimal dimension or the adjoint representation.

AB - Let G be a simple algebraic group over k = ℂ, or F̄p where p is good. Set g = Lie G. Given r ∈ ℕ and a faithful (restricted) representation ρ: g → gl(V), one can define a variety of nilpotent elements Nr,ρ(g) = {x ∈ g: ρ(x)r = 0}. In this paper we determine this variety when ρ is an irreducible representation of minimal dimension or the adjoint representation.

U2 - 10.1016/j.jalgebra.2004.05.023

DO - 10.1016/j.jalgebra.2004.05.023

M3 - Journal article

AN - SCOPUS:17344366117

VL - 280

SP - 719

EP - 737

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

ER -