Lie Algebras Graded by the Root Systems BCr, R 2

Buch | Softcover

2002
American Mathematical Society (Verlag)
978-0-8218-2811-3 (ISBN)

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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.

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.

Erscheint lt. Verlag	1.7.2002
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	references
Verlagsort	Providence
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	0-8218-2811-8 / 0821828118
ISBN-13	978-0-8218-2811-3 / 9780821828113
Zustand	Neuware