Results 31 to 40 of about 55,778 (257)
Generalized Polarization Modules (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 This work enrols the research line of M. Haiman on the Operator Theorem (the old operator conjecture). This theorem states that the smallest $\mathfrak{S}_n$-module closed under taking partial derivatives and closed under the action of polarization ...
Héctor Blandin
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UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC
Forum of Mathematics, Sigma, 2018 We present a heuristic argument based on Honda–Tate theory against many conjectures in ‘unlikely intersections’ over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian ...
ANANTH N. SHANKAR, JACOB TSIMERMAN
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Performance Evaluation of Demodulation Methods: a Combinatorial Approach [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 This paper provides a combinatorial approach for analyzing the performance of demodulation methods used in GSM. We also show how to obtain combinatorially a nice specialization of an important performance evaluation formula, using its connection with a ...
Daniel Krob, Ekaterina A. Vassilieva
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Dynamics of plane partitions: Proof of the Cameron–Fon-Der-Flaass conjecture
Forum of Mathematics, Sigma, 2020 One of the oldest outstanding problems in dynamical algebraic combinatorics is the following conjecture of P. Cameron and D. Fon-Der-Flaass (1995): consider a plane partition P in an $a \times b \times c$ box ${\sf B}$ . Let $\Psi (P)$
Rebecca Patrias, Oliver Pechenik
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New Hopf Structures on Binary Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 The multiplihedra $\mathcal{M}_{\bullet} = (\mathcal{M}_n)_{n \geq 1}$ form a family of polytopes originating in the study of higher categories and homotopy theory. While the multiplihedra may be unfamiliar to the algebraic combinatorics community, it is
Stefan Forcey +2 more
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Application of graph combinatorics to rational identities of type $A^\ast$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 To a word $w$, we associate the rational function $\Psi_w = \prod (x_{w_i} - x_{w_{i+1}})^{-1}$. The main object, introduced by C. Greene to generalize identities linked to Murnaghan-Nakayama rule, is a sum of its images by certain permutations of the ...
Adrien Boussicault, Valentin Féray
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Abstract involutions of algebraic groups and of Kac-Moody groups [PDF]
, 2010 Based on the second author's thesis in this article we provide a uniform treatment of abstract involutions of algebraic groups and of Kac-Moody groups using twin buildings, RGD systems, and twisted involutions of Coxeter groups. Notably we simultaneously
Berger M. +9 more
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Orbits of strongly solvable spherical subgroups on the flag variety [PDF]
, 2017 Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of B acting with finitely many orbits on the flag variety G/B, and we classify the H-orbits in G/B in terms of suitable combinatorial invariants.
Gandini, Jacopo, Pezzini, Guido
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q-Partition algebra combinatorics
Journal of Combinatorial Theory, Series A, 2010 Introduction rewritten and minor mistakes ...
Tom Halverson, Nathaniel Thiem
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Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 This paper considers the representation theory of towers of algebras of $\mathcal{J} -trivial$ monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings $G_0 ...
Aladin Virmaux
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