http://orcid.org/0000-0002-3446-2663
References
- Bott, R., Tu, L. W. (1982). Differential Forms in Algebraic Topology, Graduate Texts in Mathematics, vol. 82. New York: Springer-Verlag. MR658304.
- Date, E., Jimbo, M., Kashiwara, M., Miwa, T. (1981). Transformation groups for soliton equations. III. Operator approach to the Kadomtsev-Petviashvili equation. J. Phys. Soc. Jpn. 50(11):3806–3812. MR638807.
- Dieudonné, J. (2006). Élements d’Analyse, Tome III. Paris, France: Édition Jacques Gabay. MR0270377.
- Dimitrov, I., Penkov, I. (2004). Ind-varieties of generalized flags as homogeneous spaces for classical ind-groups. Int. Math. Res. Not. 2004(55):2935–2953. MR2099177.
- Gatto, L. (2005). Schubert calculus via Hasse-Schmidt derivations. Asian J. Math. 9(3):315–321. MR2214955.
- Gatto, L., Rowen, L. H. (2018). Grassmann semialgebras and the Cayley-Hamilton theorem. arXiv:1803.08093.
- Gatto, L., Salehyan, P. (2014). The Boson-fermion correspondence from linear ODEs. J. Algebra 415:162–183. MR3229512.
- Gatto, L., Salehyan, P. (2016). Hasse-Schmidt Derivations on Grassmann Algebras, IMPA Monographs, vol. 4. Cham: Springer. With applications to vertex operators. MR3524604.
- Gatto, L., Salehyan, P. (2018). On Plücker equations characterizing Grassmann cones. Paper presented at the EMS Ser. Congr. Rep., Eur. Math. Soc., Schubert varieties, equivariant cohomology and characteristic classes (IMPANGA 15), Zürich, pp. 97–125. arXiv:1603.00510, MR3754189.
- Gatto, L., Salehyan, P. (2019). Schubert derivations on the infinite wedge power. arXiv:1901.06853v2.
- Gatto, L., Santiago, T. (2009). Schubert calculus on a Grassmann algebra. Can. Math. Bull. 52(2):200–212. MR2512308.
- Gatto, L., Scherbak, I. (2019). Hasse-Schmidt derivations and Cayley-Hamilton theorem for exterior algebras Selim Grigorievich Krein Centennial. Functional Analysis and Geometry: Selim Grigorievich Krein Centennial. Contemporary Mathematics, vol. 733. Providence, RI: American Mathematical Society, pp. 149–165. MR3985273.
- Ignatyev, M. V., Penkov, I. (2017). Ind-varieties of generalized flags: A survey of results. arXiv:1701.08478v2.
- Jimbo, M., Miwa, T. (1983). Solitons and infinite-dimensional Lie algebras. Publ. Res. Inst. Math. Sci. 19(3):943–1001. MR723457.
- Kac, V. (1998). Vertex Algebras for Beginners. University Lecture Series, vol. 10, 2nd ed. Providence, RI: American Mathematical Society. MR1651389.
- Kac, V. G., Raina, A. K., Rozhkovskaya, N. (2013). Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras. Advanced Series in Mathematical Physics, vol. 29, 2nd ed. Hackensack, NJ: World Scientific Publishing Co. Pte. Ltd. MR3185361.
- Laksov, D., Thorup, A. (2003). Wronski systems for families of local complete intersection curves. Commun. Algebra 31(8):4007–4035. Special issue in honor of Steven L. Kleiman. MR2007394.
- Mac Donald, I. G. (2015). Symmetric Functions and H2all Polynomials, Oxford Classic Texts in the Physical Sciences. New York: The Clarendon Press, Oxford University Press.
- Sato, M. (1989). The KP hierarchy and infinite-dimensional Grassmann manifolds. Paper presented at Theta functions: Bowdoin 1987, Part 1 (Brunswick, ME, 1987), Proc. Sympos. Pure Math., vol. 49. Providence, RI: American Mathematical Society, pp. 51–66, MR1013125.