Results 11 to 20 of about 251 (157)
Two theorems in the commutator calculus [PDF]
Transactions of the American Mathematical Society, 1972 Let F = ⟨ a
Hermann V. Waldinger
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Commutator Calculus and Groups of Homotopy Classes
, 1981 A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic ...
Baues, Hans Joachim
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On Nilpotent Products of Cyclic Groups—Reexamined by the Commutator Calculus
Canadian Journal of Mathematics, 1975 Ruth R. Struik investigated the nilpotent group , where G is a free product of a finite number of cyclic groups, not all of which are of infinite order, and Gm is the mth subgroup of the lower central series of G. Making use of the “collection process” first given by Philip Hall in [8], she determined completely for 1 ≦ n ≦ p + 1, where p is the ...
Waldinger, Hermann V. +1 more
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Non-commutative functional calculus: Unbounded operators [PDF]
Journal of Geometry and Physics, 2009 In a recent work, \cite{cgss}, we developed a functional calculus for bounded operators defined on quaternionic Banach spaces. In this paper we show how the results from \cite{cgss} can be extended to the unbounded case, and we highlight the crucial differences between the two cases.
Sabadini, Irene +11 more
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Group and Lie algebra filtrations and homotopy groups of spheres [PDF]
, 2023 We establish a bridge between homotopy groups of spheres and commutator calculus in groups, and solve in this manner the “dimension problem” by providing a converse to Sjogren’s theorem: every abelian group of bounded exponent can be embedded in the ...
Bartholdi, Laurent, Mikhailov, Roman
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On embedding Lambek calculus into commutative categorial grammars [PDF]
Journal of Logic and Computation, 2021 AbstractWe consider tensor grammars, which are an example of ‘commutative’ grammars, based on the classical (rather than intuitionistic) linear logic. They can be seen as a surface representation of abstract categorial grammars (ACG) in the sense that derivations of ACG translate to derivations of tensor grammars and this translation is isomorphic on ...
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, 2004 We study cubical sets without degeneracies, which we call {square}-sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particular a {square}-set C has an infinite family of associated {square}-sets Ji(
Colin Rourke +8 more
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Relative unitary commutator calculus, and applications [PDF]
, 2020 . This note revisits localisation and patching method in the setting of generalised unitary groups. Introducing certain subgroups of relative elementary unitary groups, we develop relative versions of the conjugation calculus and the commutator calculus ...
Zuhong Zhang +2 more
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, 2022 This article proposes an approach to construct a Lyapunov function for a linear large-scale periodic system. In this case, in contrast to various variants of small-gain stability conditions for large-scale systems, the presence of the asymptotic ...
I. Atamas +5 more
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Noncommutative integration calculus [PDF]
Journal of Mathematical Physics, 1995 A noncommutative integration calculus arising in the mathematical description of Schwinger terms of fermion–Yang–Mills systems is discussed. The differential complexes of forms u0[ε,u1]...[ε,un] with ε a grading operator on a Hilbert space ℋ and ui bounded operators on ℋ which naturally contains the compactly supported de Rham forms on Rd (i.e., ε is ...
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