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1
Infinite-Dimensional Lie Algebras
The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris ...
2
Feynman-Kac Formulae: Genealogical and Interacting ... - Page 47
2.1 Introduction In this chapter, we introduce the mathematical structure of Feynman-Kac models. In a preliminary section, Section 2.2, we provide a brief introduction to Markov chain models in abstract path spaces. In Section 2.3, we present ...
3
Kac-Moody Groups, their Flag Varieties and Representation ... - Page 64
Lemma 2.1.4 appears in [Kac-90, Lemma 9.10]. Lemma 2.1.9 is due to [Deodhar–Gabber—Kac—82] and Lemma 2.1.10 is essentially due to [Garland–Lepowsky–76), except that properties (iii) and (iv) are not explicitly mentioned. The lemma ...
4
Kac-Moody and Virasoro Algebras: A Reprint Volume for ...
This volume reviews the subject of Kac-Moody and Virasoro Algebras. It serves as a reference book for physicists with commentary notes and reprints.
Peter Goddard, David Olive,
1988
Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus.
Victor Kac, Pokman Cheung,
2012
6
Evolution Processes and the Feynman-Kac Formula
In this book, random processes measured by operator valued set functions - evolution processes - are systematically examined for the first time.
7
Introduction to Kac-Moody Algebra
Presents the fundamentals of a type of algebra developed in 1968, and now finding application in a wide range of mathematical and mathematical physics areas.
Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."
Mark Kac, Stanislaw M. Ulam,
1968
9
Telepresence and Bio Art
Addressing emerging and complex topics, this book will be essential reading for anyone interested in contemporary art.
10
Finite Order Automorphisms and Real Forms of Affine ...
Let $\mathfrak{g}$ be a real or complex (finite dimensional) simple Lie algebra and $\sigma\in\mathrm{Aut}\mathfrak{g}$.
Ernst Heintze, Christian Gross,
2012