- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:49
Rendiconti del Seminario Matematico della Università di Padova
Rend. Sem. Mat. Univ. Padova
RSMUP
0041-8994
2240-2926
General
10.4171/RSMUP
http://www.ems-ph.org/doi/10.4171/RSMUP
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2013)
131
2014
0
On the Lie transformation algebra of monoids in symmetric monoidal categories
Abhishek
Banerjee
Indian Institute of Science, BANGALORE, INDIA
Inner derivations, Lie transformation algebra
We define the Lie transformation algebra of a (not necessarily associative) monoid object $A$ in a $K$-linear symmetric monoidal category $(C,\otimes,1)$, where $K$ is a field. When $A$ is associative and satisfies certain conditions, we describe explicity the Lie transformation algebra and inner derivations of $A$. Additionally, we also show that derivations preserve the nucleus of the monoid $A$.
Nonassociative rings and algebras
Category theory; homological algebra
151
157
10.4171/RSMUP/131-8
http://www.ems-ph.org/doi/10.4171/RSMUP/131-8