7 citations · 29 across the 32 of their papers we have counts for
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Maximal ideals and representations of twisted forms of algebras
Michael Lau, Arturo Pianzola
Given a central simple algebra and a Galois extension of base rings , we show that the maximal ideals of twisted -forms of the algebra of currents $\mathfr…
Iterated Loop Algebras
Bruce Allison, Stephen Berman, Arturo Pianzola
Iterated loop algebras are by definition obtained by repeatedly applying the loop construction, familiar from the theory of affine Kac-Moody Lie algebras, to a given base algebra.…
Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras
A. Pianzola
For g a split semisimple Lie algebra over a field of characteristic 0, we link locally trivial principal homogeneous spaces over Spec(R) to the question of conjugacy of maximal abe…
Affine Kac-Moody Lie algebras as torsors over the punctured line
A. Pianzola
We interpret and develop a theory of loop algebras as torsors (principal homogeneous spaces) over Laurent polynomial rings . As an application, we recover Kac's realization of affi…