Torsors, Reductive Group Schemes and Extended Affine Lie Algebras

Philippe Gille author Arturo Pianzola author

Format:Paperback

Publisher:American Mathematical Society

Published:30th Oct '13

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Torsors, Reductive Group Schemes and Extended Affine Lie Algebras cover

The authors give a detailed description of the torsors that correspond to multiloop algebras. These algebras are twisted forms of simple Lie algebras extended over Laurent polynomial rings. They play a crucial role in the construction of Extended Affine Lie Algebras (which are higher nullity analogues of the affine Kac-Moody Lie algebras). The torsor approach that the authors take draws heavily from the theory of reductive group schemes developed by M. Demazure and A. Grothendieck. It also allows the authors to find a bridge between multiloop algebras and the work of F. Bruhat and J. Tits on reductive groups over complete local fields.

ISBN: 9780821887745

Dimensions: unknown

Weight: 456g

112 pages