Hasse-Schmidt Derivations on Grassmann Algebras

DOI10.1007/978-3-319-31842-4zbMath1350.15001OpenAlexW2490007025MaRDI QIDQ2799540

Letterio Gatto, Parham Salehyan

Publication date: 11 April 2016

Full work available at URL: https://doi.org/10.1007/978-3-319-31842-4

zbMATH Keywords

Cayley-Hamilton theoremSchubert calculusderivationsKorteweg-de Vries equationClifford algebraGrassmann algebrasvertex operatorsexterior algebramodulematrix exponentialKadomtsev-Petviashvili equationtensor algebraHasse-Schmidt derivationsboson-fermion correspondencegeneric linear recurrence sequences

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vector and tensor algebra, theory of invariants (15A72) Vertex operators; vertex operator algebras and related structures (17B69) Clifford algebras, spinors (15A66) Exterior algebra, Grassmann algebras (15A75) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02) Matrix exponential and similar functions of matrices (15A16)

Related Items (11)

Multivariate Hasse–Schmidt derivation on exterior algebras ⋮ Universal factorization algebras of polynomials represent Lie algebras of endomorphisms ⋮ Schubert derivations on the infinite wedge power ⋮ Clifford semialgebras ⋮ The cohomology of the Grassmannian is a gl_n-module ⋮ Polynomial ring representations of endomorphisms of exterior powers ⋮ On the vertex operator representation of Lie algebras of matrices ⋮ Hasse–Schmidt derivations and Cayley–Hamilton theorem for exterior algebras ⋮ Grassmann semialgebras and the Cayley-Hamilton theorem ⋮ From solutions to linear ordinary differential equations to vertex operators ⋮ Bosonic and fermionic representations of endomorphisms of exterior algebras

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