TY  - BOOK
AU  - Allison,Bruce N.
AU  - Azam,Saeid
AU  - Berman,Stephen
TI  - Extended Affine Lie Algebras and Their Root Systems
T2  - Memoirs of the American Mathematical Society
SN  - 9781470401887
AV  - QA252.3 -- .A45 1997eb 
U1  - 510 s;512/.55 
PY  - 1997///
CY  - Providence
PB  - American Mathematical Society
KW  - Infinite dimensional Lie algebras
KW  - Kac-Moody algebras
KW  - Root systems (Algebra)
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114579
ER  -