Results 21 to 30 of about 305,985 (193)
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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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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Discrete Mathematics & Theoretical Computer Science, 2014 A general lattice theoretic construction of Reading constructs Hopf subalgebras of the Malvenuto-Reutenauer Hopf algebra (MR) of permutations. The products and coproducts of these Hopf subalgebras are defined extrinsically in terms of the embedding in MR.
Shirley Law
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Embedding of post-Lie algebras into postassociative algebras [PDF]
New Trends in Algebra and Combinatorics. Proc. of the 3rd Intern.
Congress in Algebra and Combinatorics (Ed. by K.P. Shum, E. Zelmanov, P.
Kolesnikov, A. Wong), p. 57-67 (2020), 2018 Applying Groebner-Shirshov technique, we prove that any post-Lie algebra injectively embeds into its universal enveloping postassociative algebra.
arxiv +1 more source
Singularities (hybrid meeting) [PDF]
, 2021 Singularity theory concerns local and global structure of singularities of (algebraic) varieties and maps.
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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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3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
Mathematical and Computational Applications, 2017 The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block ...
Xiaolian Liao, Guohua Chen, Shangzhao Li
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Asymptotics of lattice walks via analytic combinatorics in several variables [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We consider the enumeration of walks on the two-dimensional non-negative integer lattice with steps defined by a finite set S ⊆ {±1, 0}2 . Up to isomorphism there are 79 unique two-dimensional models to consider, and previous work in this area has used ...
Stephen Melczer, Mark C. Wilson
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Geometric and Algebraic Combinatorics [PDF]
, 2015 The 2015 Oberwolfach meeting “Geometric and Algebraic Combinatorics” was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg).
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Extending the parking space [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 The action of the symmetric group $S_n$ on the set $\mathrm{Park}_n$ of parking functions of size $n$ has received a great deal of attention in algebraic combinatorics.
Andrew Berget, Brendon Rhoades
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