• Corpus ID: 209928973

Lie algebras graded by the root systems BCr, r ≧ 2

@inproceedings{Allison2002LieAG,
  title={Lie algebras graded by the root systems BCr, r ≧ 2},
  author={Bruce N. Allison and Georgia Benkart and Yung Gao},
  year={2002}
}

• B. Allison, G. Benkart, Yung Gao
• Published 2002
• Mathematics, Materials Science

Introduction The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra, $r\ge 3$ (excluding type $\mathrm{D}_3)$ Models for $\mathrm{BC}_r$-graded Lie algebras, $r\ge 3$ (excluding type $\mathrm{D}_3)$ The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra with grading subalgebra of type $\mathrm{B}_2$, $\mathrm{C}_2$, $\mathrm{D}_2$, or $\mathrm{D}_3$ Central extensions, derivations and invariant forms Models of $\mathrm{BC}_r$-graded Lie algebras with grading subalgebra of type $\mathrm{B}_2$, $\mathrm{C}_2$, $\mathrm{D}_2$, or $\mathrm{D}_3$ Appendix: Peirce decompositions in structurable algebras References.