Projective Schur functions as a bispherical functions on certain homogeneous superspaces
Abstract
I show that the projective Schur functions may be interpreted as bispherical functions of either the triple (q(n),gl(n,n),q(n)), where q(n) is the "odd" (queer) analog of the general liner Lie algebra, or the triple (p(n),gl(n,n),p(n)), where p(n) is the periplectic Lie superalgebra which preserves the nondegenerate odd, bilinear form (either symmetric or skew symmetric). Making use of this interpretation I characterize projective Schur functions as common eigenfunctions of an algebra differential operators.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2001
 arXiv:
 arXiv:math/0106233
 Bibcode:
 2001math......6233S
 Keywords:

 Mathematics  Representation Theory;
 05E05;
 17B35
 EPrint:
 Latex, 18 pages