Enumeration of basic ideals in type B

Details Enumeration of basic ideals in type B Enumeration of basic ideals in type B

2012-04-17

arxiv.org/abs/1204.3771v1

Mathematics

Rings and Algebras

24 pages

Scientific paper

The number of ad-nilpotent ideals of the Borel subalgebra of the classical Lie algebra of type B_n is determined using combinatorial arguments involving a generalization of Dyck-paths. We also solve a similar problem for the untwisted affine Lie algebra of type ~B_n, where we instead enumerate a certain class of ideals called basic ideals. This leads to an explicit formula for the number of basic ideals in ~B_n, which gives rise to a new integer sequence.

Affiliated with

Also associated with

No associations

Rating

Enumeration of basic ideals in type B 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 Enumeration of basic ideals in type B, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enumeration of basic ideals in type B will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289809