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Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras [PDF]

Singh, Dev Karan, Kumar, Shiv Datt
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The Schur Lie-multiplier of Leibniz algebras

Quaestiones Mathematicae, 2018
For a free presentation $0 \to R \to F \to G \to 0$ of a Leibniz algebra $G$, the Baer invariant ${\cal M}^{\sf Lie}(G) = \frac{R \cap [F, F]_{Lie}}{[F, R]_{Lie}}$ is called the Schur multiplier of $G$ relative to the Liezation functor or Schur Lie-multiplier.
J M Casas
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Multiplying Schur functions

Journal of Algorithms, 1984
The authors discuss a combinatorial rule for expanding the product of Schur functions as a sum of Schur functions. They claim it to be new, but it is in fact \textit{H. O. Foulkes}' ``line of route'' method [cf. Discrete Math. 15, 235--252 (1976; Zbl 0338.05002)].
Jeffrey B. Remmel, Roger Whitney
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Schur multipliers and the Lazard correspondence

Archiv der Mathematik, 2012
Let \(G\) be a finite \(p\)-group of nilpotency class less than \(p\), and let \(L\) be a Lie ring of \(p\)-power order of nilpotency class less than \(p\). The authors study properties behaving regularly under the Lazard correspondence \(G\mapsto L=\mathrm{Lie}(G)\mapsto\mathrm{Grp}(L)=G\).
Eick, Bettina, Horn, Max, Zandi, Seiran
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The Schur Multiplier of a Pair of Groups

Applied Categorical Structures, 1998
In this article the author develops the theory of a Schur multiplier for pairs of groups and he shows that it leads to a more systematic treatment of a number of results on the usual multiplier. In several instances this treatment yields sharper results.
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On the Schur Multipliers of Coxeter Groups

Journal of the London Mathematical Society, 1988
\textit{S. Ihara} and \textit{T. Yokonuma} [J. Fac. Sci. Univ. Tokyo, Sect. I 11, 155-171 (1965; Zbl 0136.288)] and \textit{T. Yokonuma} [ibid. 173-186 (1965; Zbl 0136.288)] have calculated the Schur multipliers of the finite Coxeter groups and the affine Weyl groups, which are the most important infinite Coxeter groups.
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6. Hankelian Schur multipliers. Herz-Schur multipliers

2001
In this short chapter, we discuss Schur multipliers restricted to various subspaces \(E \subset B(H)\). We first discuss the case when \(H = \ell_2\) and E is the sub-class of all Hankel matrices. We show that the Schur multipliers which are completely bounded maps from E to E are closely related to the Fourier multipliers on the Hardy space H1 ...
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Hankel-Schur multipliers and multipliers of the space H1

Journal of Soviet Mathematics, 1985
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A Marcinkiewicz multiplier theory for Schur multipliers

Analysis & PDE
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Chuah, Chian Yeong, Liu, Zhen-Chuan, Mei, Tao   +2 more
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SCHUR MULTIPLIERS OF n-ENGEL GROUPS

International Journal of Algebra and Computation, 2008
We find a bound for the exponent of the Schur multiplier of a finite p-group in terms of the exponent and Engel length of the given group. It is also proved that if G is a 3-Engel group of finite exponent, then the exponent of H2(G) divides exp G. When G is a 4-Engel group of exponent e, the exponent of H2(G) divides 10e.
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