Imparts a self-contained development of the algebraic theory of Kac-Moody algebras, their representations and close relatives--the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac-Moody theory not specific to the affine case. Also covers lattices, and finite root systems, infinite-dimensional theory, Weyl groups and conjugacy theorems.

Ralph Moody was eight years old in 1906 when his family moved from New Hampshire to a Colorado ranch. Through his eyes we experience the pleasures and perils of ranching there early in the twentieth century. Auctions and roundups, family picnics, irrigation wars, tornadoes and wind storms give authentic color to Little Britches. So do adventures, wonderfully told, that equip Ralph to take his father's place when it becomes necessary.Little Britches was the literary debut of Ralph Moody, who wrote about the adventures of his family in eight glorious books, all available as...

Master storyteller Ralph Moody tells the thrilling story of a plucky horse who refused to quit, a down-on-his-luck jockey who didn't let horrendous accidents keep him out of the saddle, and a taciturn trainer who brought out the best in both. During the Great Depression, Seabiscuit captured the hearts of Americans from the streets to the White House, winning more money than any horse at that time and shattering speed records across the country. In this real-life story Moody captures the hoof-pounding excitement of the explosive early races to an unforgettable showdown with the feared Triple...