James Lepowsky

The deep and relatively new field of vertex operator algebras is intimately related to a variety of areas in mathematics and physics: for example, the concepts of "monstrous moonshine," infinite-dimensional Lie theory, string theory, and conformal field theory. This book introduces the reader to the fundamental theory of vertex operator algebras and its basic techniques and examples. Beginning with a detailed presentation of the theoretical foundations and proceeding to a range of applications, the text includes a number of new, original results and also highlights and brings fresh perspective to important works of many researchers.

These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry. The second of the two volumes contains the somewhat more 'geometric' papers, although such a designation is to a certain extent arbitrary, because of the breadth of the papers.

"Set during Prohibition, and deep in the backwoods of Appalachia, Moonshine #1 tells the story of Lou Pirlo, a city-slick "torpedo" sent from New York City to negotiate a deal with the best moonshiner in West Virginia, one Hiram Holt. Lou figures it for milk run -- how hard could it be to set-up moonshine shipments from a few ass-backward hillbillies? What Lou doesn't figure on is that Holt is just as cunning as ruthless as any NYC crime boss and Lou is in way over his pin-striped head. Because not only will Holt do anything to protect his illicit booze operation, he'll stop at nothing to protect a much darker family secret...a bloody, supernatural secret that must never see the light of day...or better still, the light of the full moon"--Amazon.