Non-abelian tensor and exterior products of multiplicative Lie rings
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Guram Donadze
Abstract
We define a non-abelian tensor product of multiplicative Lie rings. This is a new concept providing a common approach to the non-abelian tensor product of groups defined by Brown and Loday and to the non-abelian tensor product of Lie rings defined by Ellis. We also prove an analogue of Miller’s theorem for multiplicative Lie rings.
Funding source: Ministerio de Economía y Competitividad
Award Identifier / Grant number: MTM2013-43687-P
Funding source: Shota Rustaveli National Science Foundation
Award Identifier / Grant number: FR/189/5-113/14
Award Identifier / Grant number: GRC2013-045
Funding statement: The authors were supported by Ministerio de Economía y Competitividad (Spain), grant MTM2013-43687-P (European FEDER support included). The first author was also partially supported by PEIN (USC-India) program. The second author was also supported by Shota Rustaveli National Science Foundation, grant FR/189/5-113/14. The third author was also supported by Xunta de Galicia (European FEDER support included), grant GRC2013-045.
Acknowledgements
The authors wish to thank the anonymous referee for his help in improving the presentation of this paper.
References
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Articles in the same Issue
- Frontmatter
- Probabilistic trace and Poisson summation formulae on locally compact abelian groups
- The Selberg trace formula as a Dirichlet series
- On the cohomology and their torsion of real toric objects
- Outer automorphism groups of simple Lie algebras and symmetries of painted diagrams
- Non-abelian tensor and exterior products of multiplicative Lie rings
- On the infimum of the spectrum of a relativistic Schrödinger operator
- Character correspondences for symmetric groups and wreath products
- Univalence in locally cartesian closed ∞-categories
- On subordinate random walks
- Tame combings and easy groups
- On Belk’s classifying space for Thompson’s group F
- Subspace confinement for switched linear systems
- Exceptional bundles of homological dimension ${k}$
- Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces
- Bockstein homomorphisms for Hochschild cohomology of group algebras and of block algebras of finite groups
