|
|
Article: Study data from S.E. Rao and colleagues update understanding of mathematics.
- Article from:
- Journal of Mathematics
- Article date:
- November 3, 2009
CopyrightCOPYRIGHT 2009 NewsRX. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
|
"Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted affine Lie superalgebras," scientists in Bombay, India report.
"A complete classification of such modules is obtained for superalgebras of type A(m, n)(boolean AND) and C(n)(boolean AND) using Mathieu's classification of cuspidal modules over simple Lie algebras. In other cases the classification problem is reduced to the classification of cuspidal modules over finite-dimensional cuspidal Lie superalgebras described by Dimitrov, Mathieu and Penkov," wrote S.E. Rao and colleagues.
The researchers concluded: "Based on these results a. complete ...