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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 4

Universal central extensions of braided crossed modules of Lie algebras

Alejandro Fernández-fariña(Universidad de Santiago de Compostela)0000-0002-7853-5166
Manuel Ladra(Universidad de Santiago de Compostela)0000-0002-0543-4508
Sayfa
—
Yayın Tarihi
2022-08-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also construct the universal central extension of a braided Lie crossed module in the category of braided Lie crossed modules, showing that, when one of these constructions exists, both of them exist and coincide.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we give a natural braiding on the universal central extension of a Lie crossed module with a given braiding in the category of Lie crossed modules.
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Temel Bulgular & Veri:In this paper, we give a natural braiding on the universal central extension of a Lie crossed module with a given braiding in the category of Lie crossed modules.
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Sonuç & Katkı:We also construct the universal central extension of a braided Lie crossed module in the category of braided Lie crossed modules, showing that, when one of these constructions exists, both of them exist and coincide.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lie algebra · Lie crossed module · braided

Abstract

In this paper, we give a natural braiding on the universal central extension of a Lie crossed module with a given braiding in the category of Lie crossed modules. We also construct the universal central extension of a braided Lie crossed module in the category of braided Lie crossed modules, showing that, when one of these constructions exists, both of them exist and coincide.

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Bu Makaleye Atıf Yap

Fernández-fariña, A., Ladra, M. (2022). Universal central extensions of braided crossed modules of Lie algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 4. https://doi.org/10.15672/hujms.901199

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Kaynakça (14)

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