Braided m-Lie algebras

Braided m-Lie algebras induced by multiplication are introduced, which generalize Lie algebras, Lie color algebras and quantum Lie algebras. The necessary and sufficient conditions for the braided m-Lie algebras to be strict Jacobi braided Lie algebras are given. Two classes of braided m-Lie algebras are given, which are generalized matrix braided m-Lie algebras and braided m-Lie subalgebras of End(F)M, where M is a Yetter-Drinfeld module over B with dimB < infinity. In particular, generalized classical braided m-Lie algebras sl(q,f)(GM(G)(A),F) and osp(q,l)(GM(G)(A),M,F) of generalized matrix algebra GMG(A) are constructed and their connection with special generalized matrix Lie superalgebra sl(s,f)(GM(Z2)(A(s)),F) and orthosymplectic generalized matrix Lie super algebra osp(s,l) (GM(Z2)(A(s)),M-s,F) are established. The relationship between representations of braided m-Lie algebras and their associated algebras are established.

The sugar cane biofactory - building blocks for the future

The sugarcane plant, with its enormous genetic capacity to accumulate carbon and manufacture and store sucrose, also has the potential to accumulate carbon and metabolically create a wide range of new molecules for industrial and other commercial uses. The extent to which this change can be developed and realised commercially is a function of the technical competence of the industry's R&D capacity, the reality of the commercial drivers which support this global agenda, and the determination of the industry to achieve such goals. The outcomes of existing R&D work already strongly support the technical challenges of this opportunity in sugarcane. The current challenge remains the commercialisation of the technology in a global market in which the current business structures and systems for the manufacture and distribution of existing (competitive) products makes the development of new product lines a higher risk than might otherwise be the case. This is despite all the claims that global markets are expecting and (in some cases) legislating the creation of more sustainable production systems. The options and issues for the development of a sugarcane biofactory system are discussed.