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Lie Algebras Graded by the Root Systems BC$_r$, $r\geq 2$
 
Bruce Allison University of Alberta, Edmonton, AB, Canada
Georgia Benkart University of Wisconsin, Madison, WI
Yun Gao York University, Toronto, ON, Canada
Lie Algebras Graded by the Root Systems BC_r, r>=2
eBook ISBN:  978-1-4704-0344-7
Product Code:  MEMO/158/751.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $39.60
Lie Algebras Graded by the Root Systems BC_r, r>=2
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Lie Algebras Graded by the Root Systems BC$_r$, $r\geq 2$
Bruce Allison University of Alberta, Edmonton, AB, Canada
Georgia Benkart University of Wisconsin, Madison, WI
Yun Gao York University, Toronto, ON, Canada
eBook ISBN:  978-1-4704-0344-7
Product Code:  MEMO/158/751.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $39.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1582002; 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.

  • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1582002; 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.