On the Boson-Fermion Correspondence for Factorial Schur Functions
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909477410701312 |
|---|---|
| author | Bump, Daniel Hardt, Andrew Scrimshaw, Travis |
| author_facet | Bump, Daniel Hardt, Andrew Scrimshaw, Travis |
| contents | We give an algebraic (non-analytic) proof of the deformed boson-fermion Fock space construction of Molev's double supersymmetric Schur functions, among other results, from our previous paper. In other words, we make no assumptions on the variables and parameters. By specializing to a finite number of variables and shifting parameters, we recover the factorial Schur functions. Furthermore, we realize the bosonic construction through a representation of a completion of the infinite rank general linear Lie algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02841 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Boson-Fermion Correspondence for Factorial Schur Functions Bump, Daniel Hardt, Andrew Scrimshaw, Travis Combinatorics Mathematical Physics Representation Theory We give an algebraic (non-analytic) proof of the deformed boson-fermion Fock space construction of Molev's double supersymmetric Schur functions, among other results, from our previous paper. In other words, we make no assumptions on the variables and parameters. By specializing to a finite number of variables and shifting parameters, we recover the factorial Schur functions. Furthermore, we realize the bosonic construction through a representation of a completion of the infinite rank general linear Lie algebra. |
| title | On the Boson-Fermion Correspondence for Factorial Schur Functions |
| topic | Combinatorics Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2502.02841 |