From solutions to linear ordinary differential equations to vertex operators

DOI10.1007/s00574-022-00317-5OpenAlexW4311608019MaRDI QIDQ2105864

Parham Salehyan

Publication date: 8 December 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-022-00317-5

zbMATH Keywords

vertex operatorslinear ODEsBoson-Fermion correspondence

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Vertex operators; vertex operator algebras and related structures (17B69) Ordinary differential equations of infinite order (34A35)

Cites Work

• The boson-fermion correspondence from linear ODEs
• Contributions to algebraic geometry. Impanga lecture notes. Based on the Impanga conference on algebraic geometry, Banach Center, Bȩdlewo, Poland, July 4--10, 2010
• Polynomial ring representations of endomorphisms of exterior powers
• On the vertex operator representation of Lie algebras of matrices
• Schubert calculus via Hasse-Schmidt derivations
• Hasse-Schmidt Derivations on Grassmann Algebras
• From linear recurrence relations to linear ODEs with constant coefficients
• Splitting algebras and Schubert calculus
• Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
• Bosonic and fermionic representations of endomorphisms of exterior algebras
• Universal factorization algebras of polynomials represent Lie algebras of endomorphisms
• The cohomology of the Grassmannian is a gl_n-module
• Hasse–Schmidt derivations and Cayley–Hamilton theorem for exterior algebras
• A determinantal formula for the exterior powers of the polynomial ring
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