Monomial integrals on the classical groups

Details Monomial integrals on the classical groups Monomial integrals on the classical groups

2007-10-19

arxiv.org/abs/0710.3702v1

J. Math. Phys. 49, 013503 (2008)

Physics

Mathematical Physics

16 pages

Scientific paper

10.1063/1.2830520

This paper presents a powerfull method to integrate general monomials on the classical groups with respect to their invariant (Haar) measure. The method has first been applied to the orthogonal group in [J. Math. Phys. 43, 3342 (2002)], and is here used to obtain similar integration formulas for the unitary and the unitary symplectic group. The integration formulas turn out to be of similar form. They are all recursive, where the recursion parameter is the number of column (row) vectors from which the elements in the monomial are taken. This is an important difference to other integration methods. The integration formulas are easily implemented in a computer algebra environment, which allows to obtain analytical expressions very efficiently. Those expressions contain the matrix dimension as a free parameter.

Affiliated with

Also associated with

No associations

Rating

Monomial integrals on the classical groups 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 Monomial integrals on the classical groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monomial integrals on the classical groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-708565