Recursive properties of branching and BGG resolution

Details Recursive properties of branching and BGG resolution Recursive properties of branching and BGG resolution

2011-02-08

arxiv.org/abs/1102.1702v1

Theoretical and Mathematical Physics Volume 169, Number 2, 1551-1560, November, 2011

Mathematics

Representation Theory

15 pages, 2 figures, submitted to Theoretical and Mathematical Physics

Scientific paper

10.1007/s11232-011-0132-9

Recurrent relations for branching coefficients are based on a special type of
singular element decomposition. We show that this decomposition can be used to
construct the parabolic Verma modules and finally to obtain the generalized
Weyl-Verma formulas for characters. We demonstrate how branching coefficients
can determine the generalized BGG resolution sequence.

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