Slide polynomials and subword complexes
- Авторлар: Smirnov E.Y.1,2, Tutubalina A.A.1
-
Мекемелер:
- HSE University
- Independent University of Moscow
- Шығарылым: Том 212, № 10 (2021)
- Беттер: 131-151
- Бөлім: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/142345
- DOI: https://doi.org/10.4213/sm9477
- ID: 142345
Дәйексөз келтіру
Аннотация
Негізгі сөздер
Авторлар туралы
Evgeny Smirnov
HSE University; Independent University of Moscow
Email: esmirnov@hse.ru
Candidate of physico-mathematical sciences, no status
Anna Tutubalina
HSE University
Әдебиет тізімі
- S. Assaf, D. Searles, “Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams”, Adv. Math., 306 (2017), 89–122
- N. Bergeron, S. Billey, “RC-graphs and Schubert polynomials”, Experiment. Math., 2:4 (1993), 257–269
- И. Н. Бернштейн, И. М. Гельфанд, С. И. Гельфанд, “Клетки Шуберта и когомологии пространств $G/P$”, УМН, 28:3(171) (1973), 3–26
- L. J. Billera, J. Scott Provan, “A decomposition property for simplicial complexes and its relation to diameters and shellings”, Second international conference on combinatorial mathematics (New York, 1978), Ann. New York Acad. Sci., 319, New York Acad. Sci., New York, 1979, 82–85
- L. Escobar, K. Meszaros, “Subword complexes via triangulations of root polytopes”, Algebr. Comb., 1:3 (2018), 395–414
- S. Fomin, A. N. Kirillov, “Grothendieck polynomials and the Yang–Baxter equation”, Formal power series and algebraic combinatorics/Series formelles et combinatoire algebrique, DIMACS, Piscataway, NJ, 1994, 183–190
- S. Fomin, A. N. Kirillov, “The Yang–Baxter equation, symmetric functions, and Schubert polynomials” (Florence, 1993), Discrete Math., 153:1-3, Proceedings of the 5th conference on formal power series and algebraic combinatorics (1996), 123–143
- A. Knutson, E. Miller, “Subword complexes in Coxeter groups”, Adv. Math., 184:1 (2004), 161–176
- A. Knutson, E. Miller, “Gröbner geometry of Schubert polynomials”, Ann. of Math. (2), 161:3 (2005), 1245–1318
- A. Lascoux, “Anneau de Grothendieck de la variete de drapeaux”, The Grothendieck Festschrift, v. III, Mod. Birkhäuser Class., 88, Birkhäuser/Springer, Cham, 2007, 1–34
- A. Lascoux, M.-P. Schützenberger, “Polynômes de Schubert”, C. R. Acad. Sci. Paris Ser. I Math., 294:13 (1982), 447–450
- Е. Ю. Смирнов, А. А. Тутубалина, “Слайд-комплексы и комплексы подслов”, УМН, 75:6(456) (2020), 177–178
- V. Pilaud, Ch. Stump, “EL-labelings and canonical spanning trees for subword complexes”, Discrete geometry and optimization, Fields Inst. Commun., 69, Springer, New York, 2013, 213–248
- O. Pechenik, D. Searles, “Decompositions of Grothendieck polynomials”, Int. Math. Res. Not. IMRN, 2019:10 (2019), 3214–3241
Қосымша файлдар
