Results 171 to 180 of about 123,886 (231)

OPERADS IN ALGEBRA, TOPOLOGY AND PHYSICS (Mathematical Surveys and Monographs 96) By MARTIN MARKL, STEVE SHNIDER and JIM STASHEFF: 349 pp., US$89.00, ISBN 0-8218-2134-2 (American Mathematical Society, Providence, RI, 2002).

Bulletin of the London Mathematical Society, 2003
John C. Baez
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The principle of topological economy in algebraic geometry

2005
This part of the lecture is not related to the first part, so it can be understood independently. We start with an example. Example 1. In ℂP n , consider two algebraic varieties X and Y of complementary dimensions. In general position, they intersect in finitely many points. Let [ X ] and [ Y ] be the homology classes realized by the varieties
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Application of computer to algebraic topology on some bicomplex manifolds††Research supported by the U.S. National Science Foundation Grant G-6423 and computer support contributed by the Applied Mathematics Division of the Argonne National Laboratory of the U.S. Atomic Energy Commission.

, 1970
Harvey Cohn
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Exploring the Applications of Algebraic Topology in Modern Mathematics and Data Analysis

Algebraic topology is a vibrant and intricate branch of mathematics that intertwines the abstract structures of algebra with the intuitive notions of topology. At its core, algebraic topology investigates topological spaces and their properties through algebraic invariants, enabling mathematicians to classify and understand spaces in a profound way ...
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Геометрия центральных расширений нильпотентных алгебр Ли

Труды Математического института имени В. А. Стеклова, 2019
Предложен рекуррентный и монотонный способ построения и классификации нильпотентных алгебр Ли путем последовательных центральных расширений. Он заключается в вычислении вторых когомологий $H^2(\mathfrak g,\mathbb K)$ расширяемой нильпотентной алгебры Ли $\mathfrak g$ с последующим изучением геометрии пространства орбит действия группы автоморфизмов ...
Dmitry Vladimirovich Millionshchikov, Rolando Benitez Jimenez   +1 more
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Присоединенная алгебра Ли прямоугольной группы Кокстера

Труды Математического института имени В. А. Стеклова, 2019
Исследованы нижний центральный ряд прямоугольный группы Кокстера $\mathrm {RC}_\mathcal K$ и соответствующая присоединенная градуированная алгебра Ли $L(\mathrm {RC}_\mathcal K)$. Изучена связь этой алгебры Ли с граф-алгеброй Ли $L_\mathcal K$. Дано явное комбинаторное описание первых трех последовательных факторов нижнего центрального ряда группы ...
Яков Александрович Верeвкин, Yakov Aleksandrovich Veryovkin   +1 more
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Algebra, Geometry, Topology, and Functional Analysis Equations of Major Unsolved Problems in Mathematics

(Hodge Conjecture). Description: Let X be a smooth projective complexalgebraic variety. Its cohomology admits a Hodge decomposition:H2k(X, C) = Mp+q=2kHp,q(X).Conjecture: Every class inHk,k(X) ∩ H2k(X, Q)is a rational linear combination of classes of algebraic cycles.2Problem 1.2 (Jacobian Conjecture). Description: Let F = (F1, . . . , Fn) : Cn → Cn be
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Categorical Structure of Closure Operators with Applications to Topology, Algebra and Mathematics and its Applications,

1995
Offers an extensive investigation of the theory of closure operators in different areas of mathematics, including (but not limited to) algebra, topology, combinatorics, etc. The closure operators are used to describe relevant concepts and properties as epimorphisms, injectivity, compactness, (dis)connectedness, torsion theories, factoriaztion systems ...
DIKRANJAN, Dikran, THOLEN W.
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Exceptional topology of non-Hermitian systems

Reviews of Modern Physics, 2021
Emil J Bergholtz, Jan Carl Budich, Flore K Kunst   +2 more
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Topological and algebraic geometry methods in contemporary mathematical physics. II

The present survey is a sequel to the survey announced in the preceding review, and can be regarded as its continuation, containing further material on this fundamental theme. It is divided into three parts: Part I: ''Hamiltonian formalism and variational-topological methods for finding periodic trajectories of conservative dynamical systems'', by S. P.
Dubrovin, B. A., Krichever, I. M., Novikov, S. P.   +2 more
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