Combinatorial Constructions of Weight Bases: The Gelfand-Tsetlin Basis

Details Combinatorial Constructions of Weight Bases: The Gelfand-Tsetlin Basis Combinatorial Constructions of Weight Bases: The Gelfand-Tsetlin Basis

2008-04-30

arxiv.org/abs/0804.4719v2

Mathematics

Combinatorics

Scientific paper

This work is part of a project on weight bases for the irreducible representations of semisimple Lie algebras with respect to which the representation matrices of the Chevalley generators are given by explicit formulas. In the case of sl_n, the celebrated Gelfand-Tsetlin basis is the only such basis known. Using the setup of supporting graphs developed by Donnelly, we present a simple combinatorial proof of the Gelfand-Tsetlin formulas based on a rational function identity. Some properties of the Gelfand-Tsetlin basis are derived via an algorithm for solving certain equations on the lattice of semistandard Young tableaux.

Affiliated with

Also associated with

No associations

Rating

Combinatorial Constructions of Weight Bases: The Gelfand-Tsetlin Basis 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 Combinatorial Constructions of Weight Bases: The Gelfand-Tsetlin Basis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorial Constructions of Weight Bases: The Gelfand-Tsetlin Basis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-576501