Irreducible \(Y(\mathfrak{gl}_2)\)-modules arising from free modules
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Publication:6641669
DOI10.1007/S00013-024-02068-9MaRDI QIDQ6641669
Publication date: 21 November 2024
Published in: Archiv der Mathematik (Search for Journal in Brave)
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Yang-Baxter equations and Rota-Baxter operators (17B38)
Cites Work
- Yangians and R-matrices
- Irreducibility criterion for tensor products of Yangian evaluation modules.
- A class of new simple modules for \(\mathfrak{sl}_{n + 1}\) and the Witt algebra
- Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)
- Irreducible \(Y(\mathfrak{gl}_{n+1})\)-module structures on a commutative subalgebra
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