Enumeration of permutations indexing local complete intersection Schubert varieties
Ikeda, Masaki. (2016). Enumeration of permutations indexing local complete intersection Schubert varieties. Theses and Dissertations Collection, University of Idaho Library Digital Collections. https://www.lib.uidaho.edu/digital/etd/items/ikeda_idaho_0089e_10694.html
- Title:
- Enumeration of permutations indexing local complete intersection Schubert varieties
- Author:
- Ikeda, Masaki
- Date:
- 2016
- Keywords:
- combinatorics enumeration generating function permutation
- Program:
- Mathematics
- Subject Category:
- Mathematics
- Abstract:
-
Certain classes of Schubert varieties are indexed by permutations in some permutation classes. In particular, permutations in A'=Av(52341,53241,52431,35142,42513,351624) index Schubert varieties that are local complete intersection.
Recently, Albert and Brignall discovered the generating function for the related class Av(4231,35142,42513,351624). Their method is based on constructing a regular language encoding the simple permutations in the class. This dissertation extends their method to enumerate the class A'.
- Description:
- doctoral, Ph.D., Mathematics -- University of Idaho - College of Graduate Studies, 2016
- Major Professor:
- Woo, Alexander
- Committee:
- Johnson-Leung, Jennifer; Soule, Terence; Tohaneanu, Stefan
- Defense Date:
- 2016
- Identifier:
- Ikeda_idaho_0089E_10694
- Type:
- Text
- Format Original:
- Format:
- application/pdf
- Rights:
- In Copyright - Educational Use Permitted. For more information, please contact University of Idaho Library Special Collections and Archives Department at libspec@uidaho.edu.
- Standardized Rights:
- http://rightsstatements.org/vocab/InC-EDU/1.0/