O. Braunling

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20112025

most citedTate Objects in Exact Categories (with appendix by Jan \vS\vtov\'ı\vcek and Jan Trlifaj)

12 citations · 65 across the 25 of their papers we have counts for

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math.RT2017

On the homology of Lie algebras like $gl (\infty, R)$

Oliver Braunling

We revisit a recent paper of Fialowski and Iohara. They compute the homology of the Lie algebra $gl (\infty, R)$ for $R$ an associative unital algebra over a field of char…

math.RT2012★ 11 cited

Adele residue symbol and Tate's central extension for multiloop Lie algebras

Oliver Braunling

We generalize the linear algebra setting of Tate's central extension to arbitrary dimension. In general, one obtains a Lie (n+1)-cocycle. We compute it explicitly. The construction…

On the homology of Lie algebras like gl(∞,R)

Adele residue symbol and Tate's central extension for multiloop Lie algebras

On the homology of Lie algebras like $gl (\infty, R)$