Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian
From MaRDI portal
Publication:3626786
zbMath1206.17012arXiv0707.1635MaRDI QIDQ3626786
Evgeny Feigin, Michio Jimbo, Boris L. Feigin, Evgenii E. Mukhin, Tetsuji Miwa
Publication date: 22 May 2009
Full work available at URL: https://arxiv.org/abs/0707.1635
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional Lie (super)algebras (17B65) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Vertex operators and principal subspaces of level one for \(U_q(\widehat{\mathfrak{sl}}_2)\), Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian, On a Koszul complex related to the principal subspace of the basic vacuum module for \(A_1^{(1)}\), Vertex-algebraic structure of principal subspaces of basic \(D_4^{(3)}\)-modules, Some remarks on associated varieties of vertex operator superalgebras, Vertex-algebraic structure of principal subspaces of the basic modules for twisted affine Lie algebras of type \(A_{2n-1}^{(2)}\), \(D_n^{(2)}\), \(E_6^{(2)}\), On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. I, On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. II, Vertex algebraic structure of principal subspaces of basic \(A_{2n}^{(2)}\)-modules, On the commutant of the principal subalgebra in the \(A_1\) lattice vertex algebra, Character formulas for Feigin-Stoyanovsky's type subspaces of standard \(\mathfrak{sl}(3, \mathbb{C})^{\sim}\)-modules, A combinatorial proof and refinement of a partition identity of Siladić, The intermediate vertex subalgebras of the lattice vertex operator algebras, Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras, Presentations of the principal subspaces of the higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules, On certain properties of branching coefficients for affine Lie algebras, Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the \(\mathfrak{sl}_{n+1}\) principal subspace, The free generalized vertex algebras and generalized principal subspaces, Principal subspaces of twisted modules for certain lattice vertex operator algebras