|Friday 16 April 2021|
|Events for day: Thursday 15 April 2021|
| 11:00 - 13:00 Commutative Algebra Webinar|
Representing Lie Algebras of Vector Space Endomorphisms via Schubert Derivations
Schubert Derivations are distinguished instances of Higher Order (or Hasse-Schmidt) derivations on exterior algebras , originally introduced to phrase Schubert Calculus for Grassmannians varieties, solely in terms of Leibniz rules and integration by parts. The purpose of the talk is showing their applications to find explicit vertex operators representations of Lie algebras of endomorphisms on exterior algebras and related spaces [1, 2, 3, 4], like the infinite wedge power (as in  and the bosonic Fock space (a polynomial ring in infinitely many indeterminates). This is related with some pioneering work done by Date, Jimbo, kashiw ...