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Schur function identities, their t-analogs, and k-Schur irreducibility
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1860/1941
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| Title: | Schur function identities, their t-analogs, and k-Schur irreducibility |
| Authors: | Morse, Jennifer
Lapointe, Luc |
| Issue Date: | 17-Nov-2001 |
| Citation: | Retrieved October 30, 2007 from http://xxx.lanl.gov/find/grp_math/1/au:+Morse_J/0/1/0/all/0/1. |
| Abstract: | We obtain general identities for the product of two Schur functions in the case where
one of the functions is indexed by a rectangular partition, and give their t-analogs using vertex
operators. We study subspaces forming a filtration for the symmetric function space that lends
itself to generalizing the theory of Schur functions and also provides a convenient environment for
studying the Macdonald polynomials. We use our identities to prove that the vertex operators
leave such subspaces invariant. We finish by showing that these operators act simply on the
k-Schur functions, thus leading to a concept of irreducibility for these functions. |
| URI: | http://lanl.arxiv.org/abs/math/0111193v1
http://hdl.handle.net/1860/1941 |
| Appears in Collections: | Faculty Research and Publications (Mathematics)
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