Polynomial ring representations of endomorphisms of exterior powers
| Autor: | Behzad, Ommolbanin, Contiero, Andre, Gatto, Letterio, Martins, Renato Vidal |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A polynomial ring with rational coefficients is an irreducible representation of Lie algebras of endomorphisms of exterior powers of a infinite countable dimensional $\mathbb{Q}$-vector space. We give an explicit description of it, using suitable vertex operators on exterior algebras, which mimick those occurring in the bosonic vertex representation of the Lie algebra $gl_\infty$, due to Date--Jimbo--Kashiwara and Miwa (DJKM). Comment: few typos corrected, references updated, comments are very welcome |
| Databáze: | arXiv |
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