Polyteknisk Boghandel

In this book the author develops the hyperalgebra associated with certain algebraic groups, with an emphasis on the algebraic rather than geometric approach. This avoids the need to cover some of the more sophisticated techniques, while the representation theory of the hyperalgebra is developed from scratch without reference to the associated group. The author gives a proof of Verma's conjecture and explains the Hopf algebra properties of the hyperalgebra. The author assumes some familiarity with complex semisimple Lie algebras, but includes a chapter on Hopf algebras and duality to keep the book self-contained. A final chapter gives some examples of quantum hyperalgebras and Kac-Moody hyperalgebras. This book offers an introduction to algebraic group representation theory well suited to graduate students and other newcomers to this area.