Bibliographic Information

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

Bruce Allison, Georgia Benkart, Yun Gao

(Memoirs of the American Mathematical Society, no. 751)

American Mathematical Society, 2002

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Note

"July 2002, volume 158, number 751 (second of 4 numbers)"

Includes bibliographical references (p. 156-158)

Description and Table of Contents

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.

Table of 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.

by "Nielsen BookData"

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Details

  • NCID
    BA57290899
  • ISBN
    • 0821828118
  • LCCN
    2002018394
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    ix, 158 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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