The cohomology of the Grassmannian is a gln-module

DOI10.1080/00927872.2019.1640240zbMath1442.14156arXiv1902.03824OpenAlexW2969403038MaRDI QIDQ5216223

Letterio Gatto, Parham Salehyan

Publication date: 17 February 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03824

zbMATH Keywords

vertex operatorsbosonic vertex representation of Date-Jimbo-Kashiwara-MiwaHasse-Schmidt derivations on exterior algebrasSchubert derivationscohomology of the Grassmannian

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Vertex operators; vertex operator algebras and related structures (17B69) Exterior algebra, Grassmann algebras (15A75)

Related Items (9)

Universal factorization algebras of polynomials represent Lie algebras of endomorphisms ⋮ Schubert derivations on the infinite wedge power ⋮ Clifford semialgebras ⋮ Minuscule Schubert Calculus and the Geometric Satake Correspondence ⋮ Polynomial ring representations of endomorphisms of exterior powers ⋮ On the vertex operator representation of Lie algebras of matrices ⋮ An algebraic-geometric construction of ind-varieties of generalized flags ⋮ From solutions to linear ordinary differential equations to vertex operators ⋮ Bosonic and fermionic representations of endomorphisms of exterior algebras

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