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Numerical Representation of Modular Graphs
2018 IEEE 42nd Annual Computer Software and Applications Conference (COMPSAC), 2018Modular Graphs are relevant mechanisms to represent large-scale and hierarchical relationships among entities. In this paper we propose mechanisms to allow the enumerative representation of modular graphs. We believe our approach is useful to represent systems with modular structures, such as mechanical systems, succinctly and canonically.
Victor Parque, Tomoyuki Miyashita
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FREE MODULAR LATTICES AND THEIR REPRESENTATIONS
Russian Mathematical Surveys, 1974Let be a modular lattice, and a finite-dimensional vector space over a field . A representation of in is a morphism from into the lattice of all subspaces of . In this paper we study representations of finitely generated free modular lattices . An element of a lattice is called perfect if for every indecomposable representation the subspace of is such ...
Gel'fand, I. M., Ponomarev, V. A.
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A Methodology for Modular Representation of Guidelines
2004Computer-based clinical practice guidelines often need to be modified when medical knowledge evolves or when guidelines are implemented in a local setting with specific constraints and preferences. To enable easy modifications to guidelines and maintain their integrity, we have developed a methodology for modular representation of guidelines.
Alicia O. Scott-Wright +1 more
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Mathematische Zeitschrift, 1962 On the Modular Representation of Architectural Aspects
2006An architectural aspect is a concern that cuts across architecture modularity units and cannot be effectively modularized using the given abstractions of conventional Architecture Description Languages (ADLs). Dealing with crosscutting concerns is not a trivial task since they affect each other and the base architectural decomposition in multiple ...
Alessandro Garcia 0001 +6 more
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Modulars Representations of Quasi*-algebras
In this article we will continue our analysis undertaken in \cite{batratri} and in \cite{tratri} on the structure of quasi-local quasi *-algebras. We consider representations of quasi-local quasi *-algebras $(\A,\Ao)$. In particular we discuss the problem of finding a modular mathematical model representation.Burderi, Fabio, Triolo, Salvatore
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Quotient Categories of Modular Representations
2010Let G be a reductive algebraic group over a field of prime characteristic p. We prove some results on the invariance under translations by p-multiples of weights for the composition factor multiplicities in Weyl modules, respectively for the Weyl factor multiplicities in indecomposable tilting modules for G.
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Modular Representations of the Symmetric Group
Canadian Journal of Mathematics, 1951The theory of modular representations of the symmetric group was studied first by Nakayama (5, 6), and later by Thrall and Nesbitt (11) and Robinson (7, 8, 9). Nakayama built up his elaborate theory of hooks for the express purpose of studying this problem, while Robinson's extensive work on the ...
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Modular crystalline representations
Russian Mathematical Surveys, 1988Let K be a local field of characteristic 0 (i.e. complete with respect to a discrete valuation) with perfect residue field k of characteristic \(p>0.\) Let \(\bar K\) be the algebraic closure of K and \(G=Gal(\bar K/K)\). Let \(K_ 0\) be the quotient field of the ring of Witt vectors W(k) and let \(e=[K:K_ 0]\) be the absolute ramification index of K ...
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Weights of modular representations
Mathematical Notes of the Academy of Sciences of the USSR, 1972Jordan-Holder series of p-representations of Lie algebras of classical type are studied in this note.
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