Descript 
1 online resource (ix, 206 pages) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
Series 
Progress in Mathematics ; 112 

Progress in Mathematics ; 112

Note 
The rapidlyevolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed as "complex analogues" of both Lie algebras and associative algebras. They are mathematically precise counterparts of what are known in physics as chiral algebras, and in particular, they are intimately related to string theory and conformal field theory. Dong and Lepowsky have generalized the theory of vertex operator algebras in a systematic way at three successively more general levels, all of which incorporate onedimensional braid groups representations intrinsically into the algebraic structure: First, the notion of "generalized vertex operator algebra" incorporates such structures as Zalgebras, parafermion algebras, and vertex operator superalgebras. Next, what they term "generalized vertex algebras" further encompass the algebras of vertex operators associated with rational lattices. Finally, the most general of the three notions, that of "abelian intertwining algebra," also illuminates the theory of intertwining operator for certain classes of vertex operator algebras. The monograph is written in a n accessible and selfcontained manner, with detailed proofs and with many examples interwoven through the axiomatic treatment as motivation and applications. It will be useful for research mathematicians and theoretical physicists working the such fields as representation theory and algebraic structure sand will provide the basis for a number of graduate courses and seminars on these and related topics 
Link 
Print version: 9781461267218

Subject 
Mathematics


Algebra


Group theory


Topological groups


Operator theory


Algebra. fast (OCoLC)fst00804885


Group theory. fast (OCoLC)fst00948521


Mathematics. fast (OCoLC)fst01012163


Operator theory. fast (OCoLC)fst01046419


Topological groups. fast (OCoLC)fst01152684


Electronic books

Alt Author 
Lepowsky, J. (James)

