NOTE ON VERMA BASES FOR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS

Severin Pošta; Miloslav Havlíček

doi:10.14311/AP.2013.53.0450

NOTE ON VERMA BASES FOR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS

Authors

Severin Pošta Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, CZ-120 00 Prague
Miloslav Havlíček Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, CZ-120 00 Prague

DOI:

https://doi.org/10.14311/AP.2013.53.0450

Abstract

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.

Downloads

Download data is not yet available.

Downloads

Published

2013-10-29

How to Cite

Pošta, S., & Havlíček, M. (2013). NOTE ON VERMA BASES FOR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS. Acta Polytechnica, 53(5), 450–456. https://doi.org/10.14311/AP.2013.53.0450