Results 31 to 40 of about 2,701,787 (159)
$0$-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We define an action of the $0$-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall ...
Jia Huang
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Two‐dimensional metric spheres from gluing hemispheres
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3069-3102, December 2022., 2022 Abstract We study metric spheres (Z,dZ)$(Z, d_{Z} )$ obtained by gluing two hemispheres of S2$\mathbb {S}^{2}$ along an orientation‐preserving homeomorphism g:S1→S1$g \colon \mathbb {S}^{1} \rightarrow \mathbb {S}^{1}$, where dZ$d_{Z}$ is the canonical distance that is locally isometric to S2$\mathbb {S}^{2}$ off the seam. We show that if (Z,dZ)$(Z, d_{
Toni Ikonen
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Quasisymmetric Functions for Nestohedra [PDF]
SIAM Journal on Discrete Mathematics, 2017 new graphics, section 6 revised, the example 7.5 provided; final ...
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Dual Equivalence Graphs Revisited [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In 2007 Sami Assaf introduced dual equivalence graphs as a method for demonstrating that a quasisymmetric function is Schur positive. The method involves the creation of a graph whose vertices are weighted by Ira Gessel's fundamental quasisymmetric ...
Austin Roberts
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Schubert polynomials and $k$-Schur functions (Extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 The main purpose of this paper is to show that the multiplication of a Schubert polynomial of finite type $A$ by a Schur function can be understood from the multiplication in the space of dual $k$-Schur functions. Using earlier work by the second author,
Carolina Benedetti, Nantel Bergeron
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Deployment Impact Experiment and Dynamic Analysis of Modular Truss Antenna
International Journal of Aerospace Engineering, Volume 2022, Issue 1, 2022., 2022 The deployment of a modular truss antenna reflector is relied on the driven energy of the springs between the components of the structure. The deployment process is characterized by fast speed and large impact. In order to study the impact characteristics of antenna deployment on the boundary, the deployment dynamic analysis of a modular truss antenna ...
Shikun Zheng +7 more
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A Hopf-power Markov chain on compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In a recent paper, Diaconis, Ram and I constructed Markov chains using the coproduct-then-product map of a combinatorial Hopf algebra. We presented an algorithm for diagonalising a large class of these "Hopf-power chains", including the Gilbert-Shannon ...
C.Y. Amy Pang
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Extension of m‐Symmetric Hilbert Space Operators
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We introduce a new class of operators, which we will call the class of P‐quasi‐m‐symmetric operators that includes m‐symmetric operators and k‐quasi m‐symmetric operators. Some basic structural properties of this class of operators are established based on the operator matrix representation associated with such operators.
Hadi Obaid Alshammari, Xiangfeng Yang
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A quasisymmetric function for matroids
European Journal of Combinatorics, 2009 A new isomorphism invariant of matroids is introduced, in the form of a quasisymmetric function. This invariant (1) defines a Hopf morphism from the Hopf algebra of matroids to the quasisymmetric functions, which is surjective if one uses rational coefficients, (2) is a multivariate generating function for integer weight vectors that give minimum total
Louis J. Billera +2 more
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Hall-Littlewood Polynomials in terms of Yamanouchi words [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 This paper uses the theory of dual equivalence graphs to give explicit Schur expansions to several families of symmetric functions. We begin by giving a combinatorial definition of the modified Macdonald polynomials and modified Hall-Littlewood ...
Austin Roberts
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