Tensor powers for non-simply laced Lie Algebras $B_2$ case

Details Tensor powers for non-simply laced Lie Algebras $B_2$ case Tensor powers for non-simply laced Lie Algebras $B_2$ case

2011-06-10

arxiv.org/abs/1106.2002v1

Mathematics

Representation Theory

17 pages

Scientific paper

We study the decomposition problem for tensor powers of $B_2$-fundamental modules. To solve this problem singular weight technique and injection fan algorithms are applied. Properties of multiplicity coefficients are formulated in terms of multiplicity functions. These functions are constructed showing explicitly the dependence of multiplicity coefficients on the highest weight coordinates and the tensor power parameter. It is thus possible to study general properties of multiplicity coefficients for powers of the fundamental $B_2$- modules.

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