49 citations · 86 across the 12 of their papers we have counts for
12 papers · 1 filter
Springer's odd degree extension theorem for quadratic forms over semilocal rings
Philippe Gille, Erhard Neher
A fundamental result of Springer says that a quadratic form over a field of characteristic not 2 is isotropic if it is so after an odd degree extension. In this paper we generalize…
Steinberg groups for Jordan pairs - an introduction with open problems
Erhard Neher
The paper gives an introduction to Steinberg groups for root graded Jordan pairs, a theory developed in the recent book "Steinberg groups for Jordan pairs" by Ottmar Loos and the a…
Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
Vladimir Chernousov, Erhard Neher, Arturo Pianzola
We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is "of type A", i.e., matrices over a quantum torus Q whose trace lies in th…
On conjugacy of Cartan subalgebras in non-fgc Lie tori
Vladimir Chernousov, Erhard Neher, Arturo Pianzola
We establish the conjugacy of Cartan subalgebras for generic Lie tori "of type A". This is the only conjugacy problem of Lie tori related to Extended Affine Lie Algebras that remai…
On conjugacy of Cartan subalgebras in extended affine Lie algebras
Vladimir Chernousov, Erhard Neher, Arturo Pianzola +1
That finite-dimensional simple Lie algebras over the complex numbers can be classified by means of purely combinatorial and geometric objects such as Coxeter-Dynkin diagrams and in…
Invariant bilinear forms of algebras given by faithfully flat descent
E. Neher, A. Pianzola, D. Prelat +1
The existence of nondegenerate invariant bilinear forms is one of the most important tools in the study of Kac-Moody Lie algebras and extended affine Lie algebras. In practice, the…