Results 21 to 30 of about 1,217,812 (237)
Differential algebraic Lie algebras [PDF]
Transactions of the American Mathematical Society, 1979 A class of infinite-dimensional Lie algebras over the field K \mathcal {K} of constants of a universal differential field U \mathcal {U} is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set
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Self-Dual Normal Basis of a Galois Ring
Journal of Mathematics, 2014 Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is ...
Irwansyah +3 more
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A new model of the free monogenic digroup
Математичні Студії, 2023 It is well-known that one of open problems in the theory of Leibniz algebras is to find a suitable generalization of Lie’s third theorem which associates a (local) Lie group to any Lie algebra, real or complex. It turns out, this is related to finding an
Yu. V. Zhuchok, G. F. Pilz
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Cohomology of Presheaves of Monoids
Mathematics, 2020 The purpose of this work is to extend Leech cohomology for monoids (and so Eilenberg-Mac Lane cohomology of groups) to presheaves of monoids on an arbitrary small category.
Pilar Carrasco, Antonio M. Cegarra
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, 2010 Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra.
Issa, A. Nourou
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Omni-Lie 2-algebras and their Dirac structures [PDF]
, 2011 We introduce the notion of omni-Lie 2-algebra, which is a categorification of Weinstein's omni-Lie algebras. We prove that there is a one-to-one correspondence between strict Lie 2-algebra structures on 2-sub-vector spaces of a 2-vector space $\V$ and ...
Baez +14 more
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All missing Ramsey numbers for trees versus the four-page book
Electronic Journal of Graph Theory and Applications, 2021 For the Ramsey number r(Tn, Bm), where Tn denotes a tree of order n and Bm denotes the m-page book K2 + bar(K)m, it is known that r(Tn, Bm)=2n − 1 if n ≥ 3m − 3. In case of n < 3m − 3, r(Tn, Bm) has not been completely evaluated except for m ≤ 3. Here
Roland Lortz, Ingrid Mengersen
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Analytic solution for tachyon condensation in open string field theory
, 2005 We propose a new basis in Witten's open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge the classical string field equation of motion yields straightforwardly an exact analytic solution that ...
Martin Schnabl, Star Algebra
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InformationRecent advancements in cognitive neuroscience, particularly in electroencephalogram (EEG) signal processing, image generation, and brain–computer interfaces (BCIs), have opened up new avenues for research.
Mateo Sokač +3 more
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Open-string vertex algebras, tensor categories and operads
, 2003 We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the notions of vertex algebra and of conformal vertex ...
Borcherds +12 more
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