Results 51 to 60 of about 272,600 (222)
L∞-algebras and their cohomology
We give an overview of different characterisations of L∞-structures in terms of symmetric brackets and (co)differentials on the symmetric (co)algebra. We then do the same for their representations (up to homotopy) and approach L∞-algebra cohomology using
Reinhold Ben
doaj +1 more source
On the Cohomology and Extensions of n-ary Multiplicative Hom-Nambu-Lie Superalgebras
In this paper, we discuss the representations of n-ary multiplicative Hom-Nambu-Lie superalgebras as a generalization of the notion of representations for n-ary multiplicative Hom-Nambu-Lie algebras. We also give the cohomology of an n-ary multiplicative
Lijun Tian, Baoling Guan, Yao Ma
doaj +1 more source
Symmetries for the 4HDM: extensions of cyclic groups
Multi-Higgs models equipped with global symmetry groups, either exact or softly broken, offer a rich framework for constructions beyond the Standard Model and lead to remarkable phenomenological consequences.
Jiazhen Shao, Igor P. Ivanov
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On Geometric Phase Model in the Theory of Curves With Myller Configuration
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
wiley +1 more source
On shortest crucial words avoiding abelian powers [PDF]
Let k ≥ 2 be an integer. An abeliank th power is a word of the form X1 X2 ⋯ Xk where Xi is a permutation of X1 for 2 ≤ i ≤ k. A word W is said to be crucial with respect to abelian kth powers if W avoids abelian kth powers, but W x ends with an abelian ...
Sergey Kitaev +12 more
core +2 more sources
ABSTRACT Laws play some role in explanations: at the very least, they somehow connect what is explained, or the explanandum, to what explains, or the explanans. Thus, thermodynamical laws connect the match's being struck and its lightning, so that the former causes the latter; and laws about set formation connect Socrates' existence with {Socrates}'s ...
Julio De Rizzo
wiley +1 more source
A sharp Bogomolov-type bound [PDF]
We prove a sharp lower bound for the essential minimum of a nontranslate variety in certain abelian varieties. This uses and generalises a result of Galateau.
Checcoli, Sara +2 more
core
The Hasse norm principle for abelian extensions [PDF]
We study the distribution of abelian extensions of bounded discriminant of a number field $k$ which fail the Hasse norm principle. For example, we classify those finite abelian groups $G$ for which a positive proportion of $G$-extensions of $k$ fail the ...
Newton, Rachel +2 more
core +1 more source
Cohomology of Effect Algebras [PDF]
We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. The resulting cohomology groups are related to the state space of the effect
Frank Roumen
doaj +1 more source
The Long Shadow of Karl Weierstraß Over the Calculus of Variations
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley +1 more source

