ON q-COUNTING OF NONCROSSING CHAINS AND PARKING FUNCTIONS
| dc.contributor | 游森棚 | zh_TW |
| dc.contributor | Eu, Sen-Peng | en_US |
| dc.contributor.author | 姚俊丞 | zh_TW |
| dc.contributor.author | Yao, Jyun-Cheng | en_US |
| dc.date.accessioned | 2023-12-08T07:55:55Z | |
| dc.date.available | 2023-07-27 | |
| dc.date.available | 2023-12-08T07:55:55Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | Josuat-Verg 在NC(W) 中給出了一個Deligne formula 的q-analogue ，其中標記的weighted我們稱之為爛邊，即此邊連接的兩個元素在strong bruhat order 和absolute order 中的大小關係剛好相反。接著我們已知Type A 的absolute order of maximal chains 的數量恰恰好是parking function 個，於是我們想在parking function 上找到和爛邊等分布的統計量。而此篇論文我們不只找到等分布的統計量(將就) ，還有給出保持統計量的bijecton 並進一步做出Type B 版本，以及給出Type B 的q-analogue 中gamma-positivity 係數的組合意義。 | zh_TW |
| dc.description.abstract | none | en_US |
| dc.description.sponsorship | 數學系 | zh_TW |
| dc.identifier | 60840002S-43666 | |
| dc.identifier.uri | https://etds.lib.ntnu.edu.tw/thesis/detail/142dba7c4d8a2c123dbc944c1a59c4ed/ | |
| dc.identifier.uri | http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/121081 | |
| dc.language | 中文 | |
| dc.subject | none | zh_TW |
| dc.subject | Coxeter group | en_US |
| dc.subject | Parking function | en_US |
| dc.subject | Gamma nonnegative | en_US |
| dc.title | ON q-COUNTING OF NONCROSSING CHAINS AND PARKING FUNCTIONS | zh_TW |
| dc.title | ON q-COUNTING OF NONCROSSING CHAINS AND PARKING FUNCTIONS | en_US |
| dc.type | etd |
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