Linear Independence for ⁽¹⁾₁ by Using ⁽¹⁾₂
In the previous paper, the authors proved linear independence of the combinatorial spanning set for the standard ⁽¹⁾ℓ-module (Λ₀) by establishing a connection with the combinatorial basis of Feigin-Stoyanovsky's type subspace (Λ₀) of ⁽¹⁾2ℓ-module (Λ₀). In this note, we extend this argument for...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2025 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/214171 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Linear Independence for ⁽¹⁾₁ by Using ⁽¹⁾₂. Mirko Primc and Goran Trupčević. SIGMA 21 (2025), 071, 6 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | In the previous paper, the authors proved linear independence of the combinatorial spanning set for the standard ⁽¹⁾ℓ-module (Λ₀) by establishing a connection with the combinatorial basis of Feigin-Stoyanovsky's type subspace (Λ₀) of ⁽¹⁾2ℓ-module (Λ₀). In this note, we extend this argument for ⁽¹⁾₁ ≅ ⁽¹⁾₁ to all standard ⁽¹⁾₁-modules (Λ). In the proof, we use a coefficient of an intertwining operator of the type ((Λ₂)(Λ₁) (Λ₁)) for standard ⁽¹⁾₂-modules.
|
|---|---|
| ISSN: | 1815-0659 |