The Weyl Character Formula, the half-spin representations, and equal rank subgroups

Details The Weyl Character Formula, the half-spin representations, and equal rank subgroups The Weyl Character Formula, the half-spin representations, and equal rank subgroups

1998-08-31

arxiv.org/abs/math/9808133v1

Proc.Nat.Acad.Sci. 95 (1998) 8441-8442

Mathematics

Representation Theory

5 pages, uses article.sty

Scientific paper

10.1073/pnas.95.15.8441

Let B be a reductive Lie subalgebra of a semi-simple Lie algebra of the same rank both over the complex numbers. To each finite dimensional irreducible representation $V_\lambda$ of F we assign a multiplet of irreducible representations of B with m elements in each multiplet, where m is the index of the Weyl group of B in the Weyl group of F. We obtain a generalization of the Weyl character formula; our formula gives the character of $V_\lambda$ as a quotient whose numerator is an alternating sum of the characters in the multiplet associated to $V_\lambda$ and whose denominator is an alternating sum of the characters of the multiplet associated to the trivial representation of F.

Affiliated with

Also associated with

No associations

Rating

The Weyl Character Formula, the half-spin representations, and equal rank subgroups 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 The Weyl Character Formula, the half-spin representations, and equal rank subgroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Weyl Character Formula, the half-spin representations, and equal rank subgroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-503286