Lie algebras graded by the root systems BC_r, r \ge 2 / [electronic resource] Bruce Allison, Georgia Benkart, Yun Gao.

By: Allison, Bruce N. (Bruce Normansell), 1945-Contributor(s): Benkart, Georgia, 1949- | Gao, Yun, 1963-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 751Publication details: Providence, R.I. : American Mathematical Society, c2002Description: 1 online resource (ix, 158 p. : ill.)ISBN: 9781470403447 (online)Subject(s): Lie algebrasAdditional physical formats: Lie algebras graded by the root systems BC_r, r \ge 2 /DDC classification: 510 s | 512/.55 LOC classification: QA3 | .A57 no. 751Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Includes bibliographical references (p. 156-158).

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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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