New approach to representation theory of semisimple Lie algebras and quantum algebras

Details New approach to representation theory of semisimple Lie algebras and quantum algebras New approach to representation theory of semisimple Lie algebras and quantum algebras

1999-03-14

arxiv.org/abs/math-ph/9903031v1

Physics

Mathematical Physics

LaTeX, 20 pages

Scientific paper

10.1007/BF02551396

A method to construct in explicit form the generators of the simple roots of an arbitrary finite-dimensional representation of a quantum or standard semisimple algebra is found. The method is based on general results from the global theory of representations of semisimple groups. The rank two algebras $A_2$, $B_2=C_2$, $D_2$ and $G_2$ are considered as examples. The generators of the simple roots are presented as solutions of a system of finite difference equations and given in the form of $N_l\times N_l$ matrices, where $N_l$ is the dimension of the representation.

Affiliated with

Also associated with

No associations

Rating

New approach to representation theory of semisimple Lie algebras and quantum algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New approach to representation theory of semisimple Lie algebras and quantum algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New approach to representation theory of semisimple Lie algebras and quantum algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-249716