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Lie Algebras Graded by the Root Systems BC$_r$, $r\geq 2$
eBook ISBN:  9781470403447 
Product Code:  MEMO/158/751.E 
List Price:  $66.00 
MAA Member Price:  $59.40 
AMS Member Price:  $39.60 
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Lie Algebras Graded by the Root Systems BC$_r$, $r\geq 2$
eBook ISBN:  9781470403447 
Product Code:  MEMO/158/751.E 
List Price:  $66.00 
MAA Member Price:  $59.40 
AMS Member Price:  $39.60 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 158; 2002; 158 ppMSC: Primary 17
We classify the Lie algebras of characteristic zero graded by the finite nonreduced root systems \(\mathrm{BC}_r\) for \(r \geq 2\) and determine their derivations, central extensions, and invariant forms.
ReadershipGraduate students and research mathematicians interested in nonassociative rings and algebras.

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


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Volume: 158; 2002; 158 pp
MSC: Primary 17
We classify the Lie algebras of characteristic zero graded by the finite nonreduced root systems \(\mathrm{BC}_r\) for \(r \geq 2\) and determine their derivations, central extensions, and invariant forms.
Readership
Graduate students and research mathematicians interested in nonassociative rings and algebras.

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
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