Multiparameter BCn-Kostka-Foulkes Polynomials

The Kostka-Foulkes polynomials describe the change of basis between Schur polynomials and Hall-Littlewood polynomials. In this paper, we extend this idea to the family of BCn Macdonald spherical functions, with multiparameter Kostka-Foulkes polynomials acting as the change of basis from the BC_n spherical functions to the type Cn Schur polynomials. We develop a Kato-Lusztig formula that describes the multiparameter BCn-Kostka-Foulkes polynomials.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2018

Author dc:creator

• Goodberry, Benjamin Nathaniel

Chair dc:contributor.committeechair

• Orr, Daniel D.

Committee members dc:contributor.committeemember

• Loehr, Nicholas A.
• Shimozono, Mark M.

• Hall-Littlewood Polynomials
• Kostka-Foulkes Polynomials
• Algebraic Combinatorics

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

vt_gsexam:15656

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/83576