Abacus-Tournament Models of Hall-Littlewood Polynomials
In this dissertation, we introduce combinatorial interpretations for three types of HallLittlewood polynomials (denoted Rλ, Pλ, and Qλ) by using weighted combinatorial objects called abacus-tournaments. We then apply these models to give combinatorial proofs of properties of Hall-Littlewood polynomi...
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Format: | Others |
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Virginia Tech
2016
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Online Access: | http://hdl.handle.net/10919/64427 |