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This article is cited in 6 scientific papers (total in 7 papers)
Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions
V. M. Buchstabera, N. Yu. Erokhovetsb a Steklov Mathematical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
Abstract:
This survey is devoted to the classical problem of flag numbers of convex polytopes, and contains an exposition of results obtained on the basis of connections between the theory of convex polytopes and a number of modern directions of research.
Bibliography: 62 titles.
Keywords:
flag numbers, flag polynomials, Leibniz–Hopf algebra, Lyndon words, Dehn–Sommerville relations, universal $G$-polynomial, $\boldsymbol{cd}$-index.
Received: 01.03.2011
Citation:
V. M. Buchstaber, N. Yu. Erokhovets, “Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions”, Russian Math. Surveys, 66:2 (2011), 271–367
Linking options:
https://www.mathnet.ru/eng/rm9421https://doi.org/10.1070/RM2011v066n02ABEH004741 https://www.mathnet.ru/eng/rm/v66/i2/p67
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Abstract page: | 1293 | Russian version PDF: | 549 | English version PDF: | 48 | References: | 103 | First page: | 140 |
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