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Taghreed Hur Majeed
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THE UNIVERSAL PROPERTY OF TENSOR PRODUCT FOR REPRESENTATIONS OF LIE GROUPS Majeed, Taghreed Hur
MAGISTRA Vol 26, No 87 (2014): Magistra Edisi Maret
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Abstract

The universal property of tensor product for representations of Lie groups and Lie algebras is a supporting conjugate of tensor product, which guarantees obtaining a linear map from a bilinear map. The main aim in this study is to look for a novel action with new properties on Lie group from a Lemma of Schure, the literature are concerned with studying the action of Lie algebra of two representations, one is usual and the other is the dual, while our interest in this work is focused on some actions on Lie group. In this paper, an action of tensor product for representations of Lie groups (AC-Lie group) has been defined. Furthermore, the action of action of tensor product for representations of Lie groups by duality (AAC-Lie groups), is also been found. The theoretical justifications are developed and proved supported by some concluding remarks and illustrations. Key words: universal property, tensor product, representations of Lie groups, representations of Lie algebras
ESSENTIAL EXTENSION OF TOPOLOGICAL GROUPS Majeed, Taghreed Hur
MAGISTRA Vol 26, No 91 (2015): Magistra Edisi Maret 2015
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Abstract

Our principle aim is to study an algebraic group properties topologically and specially essential extension of topological groups. Among the results in paper are obtained. We show how you can find extension and essential of topological groups by other given topological group. Furthermore, new proposition (as we know) are given at the end of this work. Key Words: Injective topological group, essential extension of topological group, topological group, direct sum.
ESSENTIAL EXTENSION OF TOPOLOGICAL GROUPS Majeed, Taghreed Hur
MAGISTRA Vol 27, No 91 (2015): Magistra Maret
Publisher : MAGISTRA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (192.27 KB)

Abstract

Our principle aim is to study an algebraic group properties topologically and specially essentialextension of topological groups. Among the results in paper are obtained. We show how you can find extensionand essential of topological groups by other given topological group.Furthermore, new proposition (as we know) are given at the end of this work.Key Words: Injective topological group, essential extension of topological group, topological group, directsum