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Lie algebras graded by the root systems $BC_{r}, r≥2$

About this Title

Bruce Allison, Georgia Benkart and Yun Gao

Publication: Memoirs of the American Mathematical Society
Publication Year: 2002; Volume 158, Number 751
ISBNs: 978-0-8218-2811-3 (print); 978-1-4704-0344-7 (online)
DOI: https://doi.org/10.1090/memo/0751
MathSciNet review: 1902499
MSC: Primary 17B70; Secondary 17B20, 17B60

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Table of Contents

Chapters

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