Continuing the theory of systems, we introduce a theory of Clifford semialgebra systems, with application to representation theory via Hasse-Schmidt derivations on exterior semialgebras. Our main result, after the construction of the Clifford semialgebra, is a formula describing the exterior semialgebra as a representation of the Clifford semialgebra, given by the endomorphisms of the first wedge power.
|Number of pages||42|
|Journal||Rendiconti del Circolo Matematico di Palermo|
|State||Published - Mar 2023|
Bibliographical noteFunding Information:
The first author was supported by the Israel Science Foundation grant 1623/16. The research of the second author was supported by Finanziamento di Base della Ricerca,(no. 53_RBA17GATLET) and by INDAM–GNSAGA. The research of the third author was supported by Israel Science Foundation Grant No. 1623/16.
© 2022, The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature.
- Bosonic vertex operator representation of Lie semialgebras of endomorphisms
- Clifford semialgebras
- Exterior semialgebra representation of endomorphisms
- Exterior semialgebras
- Schubert derivations