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Allison, Bruce N.

Extended Affine Lie Algebras and Their Root Systems. - 1st ed. - 1 online resource (138 pages) - Memoirs of the American Mathematical Society ; v.126 . - Memoirs of the American Mathematical Society .

Intro -- Contents -- Introduction -- Chapter I. The basic structure theory of extended affine Lie algebras -- 1. Basics -- 2. The Kac conjecture -- Chapter II. Semilattices and extended affine root systems -- 1. Semilattices -- 2. The structure of extended affine root systems -- 3. Isomorphism conditions for EARS -- 4. The classification of EARS -- Chapter III. Examples of extended affine Lie algebras -- 1. A general construction of EALA's -- 2. Examples of EALA's of simply laced type -- 3. Examples of EALA's of type B[sub(l)], l≥2, and type BC[sub(l)], l≥1 -- 4. Examples of EALA's of type C[sub(l)],l≥2 -- 5. Examples of EALA's of type G[sub(2)] and F[sub(4)] -- Appendix. Axiomatic theory of roots -- 1. Sets of real roots -- 2. Sets of roots -- References.

ISBN: 9781470401887

Subjects--Topical Terms:
Infinite dimensional Lie algebras.
Kac-Moody algebras.
Root systems (Algebra).

Index Terms--Genre/Form:
Electronic books.

LC Class. No.: QA252.3 -- .A45 1997eb

Dewey Class. No.: 510 s;512/.55