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The seventh BMW Art Guide by Independent Collectors
The revised and extended BMW Art Guide by Independent Collectors presents 304 private collections of contemporary art accessible to the public—featuring large and small, famous and the relatively unknown. Succinct portraits of the collections with countless color illustrations take the reader to 51 countries, often to regions or urban districts that are off-the-beaten-path. This practical guide is a collaborative publication stemming from the partnership between BMW and Independent Collectors, the international online platform for collectors of contemporary art. To date, neither the Internet nor any book has ever contained a comparable assembly of international private collections, including several that have opened their doors to art lovers and connoisseurs for the first time.
Alternative Energy Systems in Buildings
The main objective of this book is to evaluate alternative energy systems in buildings, regardless of their location and climatic conditions. Over the past few years, the use of passive cooling and heating technologies has become more common for reducing the energy consumption of buildings. However, for some building systems, these technologies are not used very often. Buildings intended for children or the elderly are often climatized to improve indoor thermal conditions. In this Special Issue, a cost reduction in climatization based on passive systems is expected to be conducted. Building site optimization is expected to be performed, to improve thermal behavior. To achieve this, computational fluid dynamics tools are expected to be used. These reductions are expected to be studied for conventional and renewable energy systems, showing that passive systems provide better thermal comfort and reduce the initial investment and energy consumption, making low-cost buildings feasible.
Some Generalized Kac-Moody Algebras with Known Root Multiplicities
Starting from Borcherds' fake monster Lie algebra, this text construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described explicitly. The root systems decompose space into convex holes, of finite and affine type, similar to the situation in the case of the Leech lattice. As a corollary, we obtain strong upper bounds for the root multiplicities of a number of hyperbolic Lie algebras, including $AE_3$.
Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.
Equivariant Orthogonal Spectra and S-Modules
The last few years have seen a revolution in our understanding of the foundations of stable homotopy theory. Many symmetric monoidal model categories of spectra whose homotopy categories are equivalent to the stable homotopy category are now known, whereas no such categories were known before 1993. The most well-known examples are the category of $S$-modules and the category of symmetric spectra. We focus on the category of orthogonal spectra, which enjoys some of the best features of $S$-modules and symmetric spectra and which is particularly well-suited to equivariant generalization. We first complete the nonequivariant theory by comparing orthogonal spectra to $S$-modules. We then develop...
The Rational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations
In 1923 Schur considered the problem of which polynomials $f\in\mathbb{Z}[X]$ induce bijections on the residue fields $\mathbb{Z}/p\mathbb{Z}$ for infinitely many primes $p$. His conjecture, that such polynomials are compositions of linear and Dickson polynomials, was proved by M. Fried in 1970. Here we investigate the analogous question for rational functions, and also we allow the base field to be any number field. As a result, there are many more rational functions for which the analogous property holds. The new infinite series come from rational isogenies or endomorphisms of elliptic curves. Besides them, there are finitely many sporadic examples which do not fit in any of the series we ...
