A Hopf laboratory for symmetric functions

Details A Hopf laboratory for symmetric functions A Hopf laboratory for symmetric functions

2003-08-29

arxiv.org/abs/math-ph/0308043v1

J.Phys.A37:1633-1664,2004

Physics

Mathematical Physics

29 pages, LaTeX, uses amsmath

Scientific paper

10.1088/0305-4470/37/5/012

An analysis of symmetric function theory is given from the perspective of the underlying Hopf and bi-algebraic structures. These are presented explicitly in terms of standard symmetric function operations. Particular attention is focussed on Laplace pairing, Sweedler cohomology for 1- and 2-cochains, and twisted products (Rota cliffordizations) induced by branching operators in the symmetric function context. The latter are shown to include the algebras of symmetric functions of orthogonal and symplectic type. A commentary on related issues in the combinatorial approach to quantum field theory is given.

Affiliated with

Also associated with

No associations

Rating

A Hopf laboratory for symmetric functions 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 A Hopf laboratory for symmetric functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Hopf laboratory for symmetric functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257861