Geometric Complexity Theory IV: Nonstandard Quantum Group for the Kronecker Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Complexity Theory IV: Nonstandard Quantum Group for the Kronecker Problem write by Jonah Blasiak. This book was released on 2015-04-09. Geometric Complexity Theory IV: Nonstandard Quantum Group for the Kronecker Problem available in PDF, EPUB and Kindle. The Kronecker coefficient is the multiplicity of the -irreducible in the restriction of the -irreducible via the natural map , where are -vector spaces and . A fundamental open problem in algebraic combinatorics is to find a positive combinatorial formula for these coefficients. The authors construct two quantum objects for this problem, which they call the nonstandard quantum group and nonstandard Hecke algebra. They show that the nonstandard quantum group has a compact real form and its representations are completely reducible, that the nonstandard Hecke algebra is semisimple, and that they satisfy an analog of quantum Schur-Weyl duality.
Geometric Complexity Theory IV
Geometric Complexity Theory IV - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Complexity Theory IV write by Jonah Blasiak. This book was released on 2014. Geometric Complexity Theory IV available in PDF, EPUB and Kindle.
Open Problems in Algebraic Combinatorics
Open Problems in Algebraic Combinatorics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Open Problems in Algebraic Combinatorics write by Christine Berkesch. This book was released on 2024-08-21. Open Problems in Algebraic Combinatorics available in PDF, EPUB and Kindle. In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, geometry, and physics. It is a vibrant area, which saw several major developments in recent years. The goal of the 2022 conference Open Problems in Algebraic Combinatorics 2022 was to provide a forum for exchanging promising new directions and ideas. The current volume includes contributions coming from the talks at the conference, as well as a few other contributions written specifically for this volume. The articles cover the majority of topics in algebraic combinatorics with the aim of presenting recent important research results and also important open problems and conjectures encountered in this research. The editors hope that this book will facilitate the exchange of ideas in algebraic combinatorics.
Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory
Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory write by Vyjayanthi Chari. This book was released on 2013-11-25. Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory available in PDF, EPUB and Kindle. This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.
Numerical Approximations of Stochastic Differential Equations with Non-Globally Lipschitz Continuous Coefficients
Numerical Approximations of Stochastic Differential Equations with Non-Globally Lipschitz Continuous Coefficients - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Approximations of Stochastic Differential Equations with Non-Globally Lipschitz Continuous Coefficients write by Martin Hutzenthaler. This book was released on 2015-06-26. Numerical Approximations of Stochastic Differential Equations with Non-Globally Lipschitz Continuous Coefficients available in PDF, EPUB and Kindle. Many stochastic differential equations (SDEs) in the literature have a superlinearly growing nonlinearity in their drift or diffusion coefficient. Unfortunately, moments of the computationally efficient Euler-Maruyama approximation method diverge for these SDEs in finite time. This article develops a general theory based on rare events for studying integrability properties such as moment bounds for discrete-time stochastic processes. Using this approach, the authors establish moment bounds for fully and partially drift-implicit Euler methods and for a class of new explicit approximation methods which require only a few more arithmetical operations than the Euler-Maruyama method. These moment bounds are then used to prove strong convergence of the proposed schemes. Finally, the authors illustrate their results for several SDEs from finance, physics, biology and chemistry.
