# Lie Algebras Graded by the Root Systems BCr, R 2 (Memoirs of the American Mathematical Society No. 158)

By: Yun Gao (author), Georgia Benkart (author), Bruce N. Allison (author)Paperback

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### Description

Classifies the Lie algebras of characteristic zero graded by the finite nonreduced root systems $\mathrm{BC}_r$ for $r geq 2$ and determines their derivations, central extensions, and invariant forms.

### Contents

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.

### Product Details

• publication date: 15/06/2002
• ISBN13: 9780821828113
• Format: Paperback
• Number Of Pages: 158
• ID: 9780821828113
• weight: 255
• ISBN10: 0821828118

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