Contemporary Mathematics 1990; 313 pp; softcover Volume: 110 ISBN10: 0821851195 ISBN13: 9780821851197 List Price: US$59 Member Price: US$47.20 Order Code: CONM/110
 The 1984 classification of the finitedimensional restricted simple Lie algebras over an algebraically closed field of characteristic \(p>7\) provided the impetus for a Special Year of Lie Algebras, held at the University of Wisconsin, Madison, during 198788. Work done during the Special Year and afterward put researchers much closer toward a solution of the longstanding problem of determining the finitedimensional simple Lie algebras over an algebraically closed field of characteristic \(p>7\). This volume contains the proceedings of a conference on Lie algebras and related topics, held in May 1988 to mark the end of the Special Year. The conference featured lectures on Lie algebras of prime characteristic, algebraic groups, combinatorics and representation theory, and KacMoody and Virasoro algebras. Many facets of recent research on Lie theory are reflected in the papers presented here, testifying to the richness and diversity of this topic. Table of Contents  B. N. Allison  Isotropic simple Lie algebras of type \(D_4\)
 S. Berman  On involutory subalgebras of KacMoody Lie algebras
 G. Brown  Structure of certain simple Lie algebras of characteristic three
 R. W. Deckhart  Calculus of some functions on the root lattice
 J. Dorfmeister, E. Neher, and J. Szmigielski  Banach manifolds and their automorphisms associated with groups of type \(C_\infty\) and \(D_\infty\)
 A. J. Feingold, I. B. Frenkel, and J. F. X. Ries  The exceptional affine algebra \(E_8^(1)\), triality and Chiral algebras
 T. B. Gregory  A characterization of the general Lie algebras of Cartan type \(W(n:\underline\underline m)\)
 W. G. McKay, R. V. Moody, J. Patera, and A. Pianzola  The 785 conjugacy classes of rational elements of finite order in \(E_8\)
 E. Michaelis  The primitives of the continuous linear dual of a Hopf algebra as the dual Lie algebra of a Lie coalgebra
 K. C. Misra  On irreducible highest weight representations of some affine Lie algebras
 B. J. Parshall  Hyperalgebras, highest weight categories and finite dimensional algebras
 J. G. Ryan  Extensions of representations of semisimple Lie algebras
 J. Schue  Enveloping algebras and division rings for Lie \(p\)algebras
 P. E. Singer  Serre relations
 L. Solomon  The number of irreducible representations of a finite coxeter group
 H. Strade  The role of \(p\)envelopes in the theory of modular Lie algebras
 V. R. Varea  On modular subalgebras in Lie algebras of prime characteristic
 D. Witte  Cocompact subgroups of semisimple Lie groups
