Data: |
giovedì 7 Aprile 2011, ore 14.00
|
Luogo: |
Aula Dal Passo, Dip. Matematica, Univ. Roma "Tor Vergata" |
Speaker: |
Erik Koelink, Radboud Universiteit Nijmegen
|
Titolo: |
Matrix-valued spherical functions related to
(SU(2)xSU(2), SU(2)) |
Abstract: |
To an irreducible (2l+1)-dimensional representation of the group SU(2)
we associate spherical functions on SU(2)xSU(2) for each
irreducible representation of SU(2)xSU(2). These functions take
their values in the (2l+1)x(2l+1)-matrices, and satisfy some useful
properties such as orthogonality relations, recurrence relations,
eigenfunctions of suitable differential operators, etc. Grouping these
functions leads to a new sets of matrix-valued orthogonal polynomials. The
one-dimensional case l=0 reduces to the characters on SU(2), which are
Chebychev polynomials.
This is joint work with Maarten van Pruijssen (Radboud U. Nijmegen) and
Pablo Roman (KU Leuven, Belgium, and U. Cordoba, Argentina). |