Results 1 to 10 of about 10,524 (182)
Some structures of the catalan numbers I [PDF]
ریاضی و جامعهThe Catalan numbers are ubiquitous in counting problems which is one of the primary reasons for its popularity. From various sources like books and Wikipedia we see that in combinatorial mathematics.
Daniel Yaqubi, Madjid Mirzavaziri
doaj +1 more source
Compositions inside a rectangle and unimodality [PDF]
, 2007 Let c^{k,l}(n) be the number of compositions (ordered partitions) of the integer n whose Ferrers diagram fits inside a k-by-l rectangle. The purpose of this note is to give a simple, algebraic proof of a conjecture of Vatter that the sequence c^{k,l}(0),
Sagan, Bruce E.
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Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions [PDF]
, 2019 We show that, for a certain class of partitions and an even number of variables of which half are reciprocals of the other half, Schur polynomials can be factorized into products of odd and even orthogonal characters.
Ayyer, Arvind, Behrend, Roger E.
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Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation [PDF]
, 2020 We study the combinatorial structure of the irreducible characters of the classical groups ${\rm GL}_{n}(\mathbb{C})$, ${\rm SO}_{2n+1}(\mathbb{C})$, ${\rm Sp}_{2n}(\mathbb{C})$, ${\rm SO}_{2n}(\mathbb{C})$ and the "non-classical" odd symplectic group ${\
Bisi, Elia, Zygouras, Nikos
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A Probabilistic Proof of the Rogers Ramanujan Identities [PDF]
, 2000 The asymptotic probability theory of conjugacy classes of the finite general linear and unitary groups leads to a probability measure on the set of all partitions of natural numbers.
Fulman, Jason
core +4 more sources
Integer partitions and exclusion statistics: Limit shapes and the largest part of Young diagrams [PDF]
, 2007 We compute the limit shapes of the Young diagrams of the minimal difference $p$ partitions and provide a simple physical interpretation for the limit shapes.
Comtet, Alain +3 more
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Refined Topological Vertex, Cylindric Partitions and the U(1) Adjoint Theory [PDF]
, 2009 We study the partition function of the compactified 5D U(1) gauge theory (in the Omega-background) with a single adjoint hypermultiplet, calculated using the refined topological vertex.
Aganagic +24 more
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, 2012 In this paper, we propose a new type of matroids, namely covering matroids, and investigate the connections with the second type of covering-based rough sets and some existing special matroids.
Liu, Yanfang, Zhu, William
core
Antipode formulas for some combinatorial Hopf algebras
, 2016 Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, Lam and Pylyavskyy studied six combinatorial Hopf algebras that can be thought of as K-theoretic analogues of the Hopf algebras of symmetric functions ...
Patrias, Rebecca
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Kronecker Coefficients For Some Near-Rectangular Partitions [PDF]
, 2014 We give formulae for computing Kronecker coefficients occurring in the expansion of $s_{\mu}*s_{\nu}$, where both $\mu$ and $\nu$ are nearly rectangular, and have smallest parts equal to either 1 or 2.
Tewari, Vasu V.
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