Intro -- Contents -- Preface -- Regularity of certain vertex operator superalgebras -- Weight modules for Weyl algebras -- On an analog of the Onsager algebra of type D(1)n -- Fusion rules for affine Kac-Moody algebras -- Subalgebras of hyperbolic Kac-Moody algebras -- Lie algebras, Fuchsian differential equations and CFT correlation functions -- Conformal-field-theoretic analogues of codes and lattices -- Matrix chain models and Kac-Moody algebras -- Combinatorics of quantum affine Lie algebra representations -- Low level representations for E10 and E11 -- Generators of relations for annihilating fields -- On integrable representations for toroidal Lie superalgebras -- Principal vertex operators and super Hirota bilinear equations for B3(1 ) -- On some classes of root systems of generalized Kac-Moody algebras -- Root multiplicities of some classes of extended-hyperbolic Kac-Moody and extended-hyperbolic generalized Kac-Moody algebras -- From quantum affine Kac-Moody algebras to Drinfeldians and Yangians.