Open AccessNOTE ON VERMA BASES FOR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS
Author(s) -
Severin Pošta,
M. Havlı́ček
Publication year - 2013
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/ap.2013.53.0450
Subject(s) - verma module , lie algebra , simple (philosophy) , mathematics , algebra over a field , basis (linear algebra) , pure mathematics , affine lie algebra , universal enveloping algebra , current algebra , philosophy , geometry , epistemology
We discuss the construction of the Verma basis of the enveloping algebra and of finite dimensional representations of the Lie algebra An. We give an alternate proof of so-called Verma inequalities to the one given in [1] by P. Littelmann.