Results 221 to 230 of about 15,050 (265)

Modular Robot Representation

2021
This chapter reviews the basic concepts, definitions, and algorithms in graph theory, which is important to the mathematical representation of modular robot assembly configurations. Since a modular robot is a collection of link and joint modules, a re-classification scheme for links and joints is proposed to translate a modular robot into a kinematic ...
Guilin Yang, I-Ming Chen
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Modular crystalline representations

Russian Mathematical Surveys, 1988
Let 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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Lifting modular mod ℓ representations

Duke Mathematical Journal, 1994
The article extends previous work of the authors and others. The main result is that once a modulo \(l\) (odd prime) Galois representation has a modular lift to characteristic zero, then one can find another such lift with prescribed restriction to the decomposition groups at primes \(p\neq l\).
Diamond, Fred, Taylor, Richard
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Integer Programming Via Modular Representations

Management Science, 1970
Modular representations of the integers are used to identify the successive integer grid points encountered as one varies the objective value of an all-integer programming problem. One can, therefore, proceed from a noninteger solution to an integer solution by monotonic variation of the objective value.
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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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FREE MODULAR LATTICES AND THEIR REPRESENTATIONS

Russian Mathematical Surveys, 1974
Let 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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Quotient Categories of Modular Representations

2010
Let 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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Weights of modular representations

Mathematical Notes of the Academy of Sciences of the USSR, 1972
Jordan-Holder series of p-representations of Lie algebras of classical type are studied in this note.
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Modular curves, modular forms, lattices, Galois representations

2011
This chapter provides the necessary background concerning modular curves and modular forms. It covers modular curves, modular forms, lattices and modular forms, Galois representations attached to eigenforms, and Galois representations over finite fields and reduction to torsion in Jacobians.
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