Some comments on Weyl’s complete reducibility theorem

Autor:	V. S. Varadarajan, Jonathan Rogawski
Rok vydání:	2012
Předmět:	Algebra Casimir effect Pure mathematics Simple (abstract algebra) General Mathematics Van der Waerden's theorem Direct proof Algebraic number Mathematics::Representation Theory Mathematical proof Semisimple Lie algebra Cohomology Mathematics
Zdroj:	Pacific Journal of Mathematics. 260:687-694
ISSN:	0030-8730
Popis:	In this note we discuss a purely algebraic proof of Weyl’s theorem that all finite-dimensional representations of a complex semisimple Lie algebra are completely reducible. We give a simple and direct proof which is elementary in the sense that it does not use cohomology, and which is a synthesis of the older proofs of Casimir ‐ van der Waerden and of Brauer.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::07382339ffd9d904bb8ab8c664097da5 https://doi.org/10.2140/pjm.2012.260.687 Zobrazit plný text záznamu