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Astronomy --- Infinite --- Physics --- Philosophy --- History.

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Inequalities (Mathematics) --- Inégalités (Mathématiques) --- mathematics --- Processes, Infinite --- Mathematics

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Ordered algebraic structures --- Infinite dimensional Lie algebras --- Kac-Moody algebras --- Root systems (Algebra) --- Systems of roots (Algebra) --- Lie algebras --- Algebras, Kac-Moody --- Infinite dimensional Lie algebras. --- Kac-Moody algebras. --- Lie, Algèbres de. --- Kac-Moody, Algèbres de.

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In Part 1 Hill examines the effect of the idea of spatial infinity on seventeenth-century literature, arguing that the metaphysical cosmology of Nicholas of Cusa provided Renaissance writers, such as Pascal, Traherne, and Milton, with a way to construe the vastness of space as the symbol of human spiritual potential. Focusing on time in Part 2, Hill reveals that, faced with the inexorability of time, Christian humanists turned to St Augustine to develop a philosophy that interpreted temporal passage as the necessary condition of experience without making it the essence or ultimate measure of human purpose. Hill's analysis centres on Shakespeare, whose experiments with the shapes of time comprise a gallery of heuristic time-centred fictions that attempt to explain the consequences of human existence in time. Infinity, Faith, and Time reveals that the sixteenth and seventeenth centuries were a period during which individuals were able, with more success than in later times, to make room for new ideas without rejecting old beliefs.

European literature --- Humanism in literature. --- Infinite in literature. --- Time in literature. --- History and criticism. --- Christianity and literature. --- Christianity in literature. --- History and criticism

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This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I. The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as

Lie algebras --- Mathematical physics --- Algèbres de Lie --- Physique mathématique --- Algèbres de Lie --- Physique mathématique --- ELSEVIER-B EPUB-LIV-FT --- Lie algebras. --- Lie algebras. Mathematical physics. --- Mathematical physics. --- Engineering & Applied Sciences --- Applied Physics --- Finite element method. --- Infinite-dimensional manifolds.