### Abstract

The nucleus was a concept first developed in the cohomology theory for finite groups. In this paper the authors investigate the nucleus for restricted Lie algebras. The nucleus is explicitly described for several important classes of Lie algebras.

Original language | English |
---|---|

Pages (from-to) | 3395-3405 |

Number of pages | 10 |

Journal | Proceedings of the American Mathematical Society |

Volume | 131 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2003 |

### Keywords

- EQUIVARIANT COHOMOLOGY RING
- SUPPORT VARIETIES
- GROUP SCHEMES
- MODULES
- SPECTRUM

### Cite this

*Proceedings of the American Mathematical Society*,

*131*(11), 3395-3405. https://doi.org/10.1090/S0002-9939-03-06939-9

**The nucleus for restricted Lie algebras.** / Benson, David John; Nakano, D. K.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 131, no. 11, pp. 3395-3405. https://doi.org/10.1090/S0002-9939-03-06939-9

}

TY - JOUR

T1 - The nucleus for restricted Lie algebras

AU - Benson, David John

AU - Nakano, D. K.

PY - 2003

Y1 - 2003

N2 - The nucleus was a concept first developed in the cohomology theory for finite groups. In this paper the authors investigate the nucleus for restricted Lie algebras. The nucleus is explicitly described for several important classes of Lie algebras.

AB - The nucleus was a concept first developed in the cohomology theory for finite groups. In this paper the authors investigate the nucleus for restricted Lie algebras. The nucleus is explicitly described for several important classes of Lie algebras.

KW - EQUIVARIANT COHOMOLOGY RING

KW - SUPPORT VARIETIES

KW - GROUP SCHEMES

KW - MODULES

KW - SPECTRUM

U2 - 10.1090/S0002-9939-03-06939-9

DO - 10.1090/S0002-9939-03-06939-9

M3 - Article

VL - 131

SP - 3395

EP - 3405

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 11

ER -