Results 111 to 120 of about 56,755 (205)
Independence of hyperlogarithms over function fields via algebraic combinatorics
, 2017 We obtain a necessary and sufficient condition for the linear independence of solutions of differential equations for hyperlogarithms. The key fact is that the multiplier (i.e.
Deneufchâtel, Matthieu +3 more
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Physics, Combinatorics and Hopf Algebras
, 2004 A number of problems in theoretical physics share a common nucleus of combinatoric nature. It is argued here that Hopf algebraic concepts and techiques can be particularly efficient in dealing with such problems. As a first example, a brief review is given of the recent work of Connes, Kreimer and collaborators on the algebraic structure of the process
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Combinatorics and the Schur algebra
Journal of Pure and Applied Algebra, 1993 The author studies the structure of the Schur algebra \(S_ R(n,r)\) over a commutative ring \(R\). A basis of codeterminants for this algebra is given which is analogous to the one constructed by \textit{G.-C. Rota} [Théorie combinatoire des invariants classiques, Sér. Math. Pures Appl.
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From Dedekind’s Level 12 Identities to Combinatorial Structures of Colored Partitions
AxiomsThe Dedekind η-function plays an important role in number theory, particularly in the study of modular forms, q-series, and partition identities. In this paper, we investigate several level-12 η-function identities and examine their combinatorial ...
Fatemah Mofarreh +2 more
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Combinatoric of syzygies for semigroup algebras
Collectanea Mathematica, 1998 We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. More precisely, we make explicit the isomorphism between the Tor groups of the resolution and the Koszul homology. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions.
Campillo, Antonio +3 more
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Relative rank and regularization
Forum of Mathematics, SigmaWe introduce a new concept of rank – relative rank associated to a filtered collection of polynomials. When the filtration is trivial, our relative rank coincides with Schmidt rank (also called strength).
Amichai Lampert, Tamar Ziegler
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Blow-up algebras in Algebra, Geometry and Combinatorics
, 2019 Programa de Doctorat en Matemàtica i ...
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Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Order (Dordr), 2023 Couceiro M, Duffus D.
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On the combinatorics of crystal structures. II. Number of Wyckoff sequences of a given subdivision complexity. [PDF]
Acta Crystallogr A Found Adv, 2023 Hornfeck W, Červený K.
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