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The Poset of [kappa]-shapes and Branching Rules for [kappa]-Schur Functions

2013 Partially ordered sets
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Release : 2013
Genre : Partially ordered sets
Kind : eBook
Book Rating : 741/5 ( reviews)

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Book Synopsis The Poset of [kappa]-shapes and Branching Rules for [kappa]-Schur Functions by : Thomas Lam

Download or read book The Poset of [kappa]-shapes and Branching Rules for [kappa]-Schur Functions written by Thomas Lam. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: We give a combinatorial expansion of a Schubert homology class in the affine Grassmannian GrSLk into Schubert homology classes in GrSLk+1. This is achieved by studying the combinatorics of a new class of partitions called k-shapes, which interpolates between k k-cores and kk+1-cores. We define a symmetric function for each k-shape, and show that they expand positively in terms of dual k-Schur functions. We obtain an explicit combinatorial description of the expansion of an ungraded k k-Schur function into k+1-Schur functions. As a corollary, we give a formula for the Schur expansion of an ungraded k-Schur function.

Recent Trends in Algebraic Combinatorics

2019 Combinatorial analysis
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Release : 2019
Genre : Combinatorial analysis
Kind : eBook
Book Rating : 426/5 ( reviews)

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Book Synopsis Recent Trends in Algebraic Combinatorics by : Hélène Barcelo

Download or read book Recent Trends in Algebraic Combinatorics written by Hélène Barcelo. This book was released on 2019. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools.

Black Holes in Higher Dimensions

2012-04-19 Science
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Release : 2012-04-19
Genre : Science
Kind : eBook
Book Rating : 453/5 ( reviews)

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Book Synopsis Black Holes in Higher Dimensions by : Gary T. Horowitz

Download or read book Black Holes in Higher Dimensions written by Gary T. Horowitz. This book was released on 2012-04-19. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to black holes in more than four dimensions, for graduate students and researchers.

Soft Computing Applications

2020-08-14 Technology & Engineering
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Release : 2020-08-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 929/5 ( reviews)

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Book Synopsis Soft Computing Applications by : Valentina Emilia Balas

Download or read book Soft Computing Applications written by Valentina Emilia Balas. This book was released on 2020-08-14. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 8th International Workshop on Soft Computing Applications, SOFA 2018, held on 13–15 September 2018 in Arad, Romania. The workshop was organized by Aurel Vlaicu University of Arad, in conjunction with the Institute of Computer Science, Iasi Branch of the Romanian Academy, IEEE Romanian Section, Romanian Society of Control Engineering and Technical Informatics – Arad Section, General Association of Engineers in Romania – Arad Section and BTM Resources Arad. The papers included in these proceedings, published post-conference, cover the research including Knowledge-Based Technologies for Web Applications, Cloud Computing, Security Algorithms and Computer Networks, Business Process Management, Computational Intelligence in Education and Modelling and Applications in Textiles and many other areas related to the Soft Computing. The book is directed to professors, researchers, and graduate students in area of soft computing techniques and applications.

Automata and Algebras in Categories

1990-08-31 Mathematics
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Release : 1990-08-31
Genre : Mathematics
Kind : eBook
Book Rating : 106/5 ( reviews)

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Book Synopsis Automata and Algebras in Categories by : Jirí Adámek

Download or read book Automata and Algebras in Categories written by Jirí Adámek. This book was released on 1990-08-31. Available in PDF, EPUB and Kindle. Book excerpt: Monograph( based very largely upon results original to the Czechoslovakian authors) presents an abstract account of the theory of automata for sophisticated readers presumed to be already conversant in the language of category theory. The seven chapters are punctuated at frequent intervals by exampl

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