Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1197-1238 |
| Number of pages | 42 |
| Journal | Rendiconti del Circolo Matematico di Palermo |
| Volume | 72 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 2023 |
Bibliographical note
Funding 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.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature.
Keywords
- Bosonic vertex operator representation of Lie semialgebras of endomorphisms
- Clifford semialgebras
- Exterior semialgebra representation of endomorphisms
- Exterior semialgebras
- Schubert derivations