17B37 — 3 articles found.
Fermionic Realization of Two-Parameter Quantum Affine Algebra $U_{r;s}(C_l^{(1)})$
Naihuan Jing,School of Mathematical Sciences, South China University of Technology, Guangzhou 510640,
China and Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA; e-mail: jing@math.ncsu.eduHonglian Zhang,Department of Mathematics, Shanghai University, Shanghai 200444, China; e-mail: hlzhangmath@shu.edu.cn
Abstract/Résumé:
We construct a Fock space representation and the action of the two-parameter quantum algebra \(U_{r,s}(\frak{gl}_{\infty})\) using extended Young diagrams. In particular, we obtain an integrable representation of the two-parameter quantum affine algebra of type \(C_n^{(1)}\) which is a two-parameter generalization of Kang-Misra-Miwa’s realization.
Nous construisons une représentation sur un espace de Fock de l’algèbre quantique à deux paramètres \(U_{r,s}(\frak{gl}_{\infty})\) en utilisant les diagrammes de Young prolongés. En particulier, on obtient une représentation intégrable de l’algèbre quantique affine à deux paramètres de type \(C_n^{(1)}\) qui est une généralization à deux paramètres de la réalization de Kang-Misra-Miwa.
Keywords: Fock space, Two-parameter quantum ane algebra, Young diagram, fermionic realization
AMS Subject Classification:
Quantum groups (quantized enveloping algebras) and related deformations
17B37
PDF(click to download): Fermionic Realization of Two-Parameter Quantum Affine Algebra $U_{r;s}(C_l^{(1)})$
Algebras over the Fock space
Y. Gao / N. Jing
Abstract/Résumé:
No abstract available but the full text pdf may be downloaded at the title link below.
Keywords:
AMS Subject Classification:
Quantum groups (quantized enveloping algebras) and related deformations, Kac-Moody (super)algebras (structure and representation theory), Vertex operators; vertex operator algebras and related structures
17B37, 17B67, 17B69
PDF(click to download): Algebras over the Fock space
Quantum imaginary Verma modules for affine Lie algebras
V.M. Futorny / A.N. Grishkov / D.J. Melville
Abstract/Résumé:
No abstract available but the full text pdf may be downloaded at the title link below.
Keywords:
AMS Subject Classification:
Quantum groups (quantized enveloping algebras) and related deformations, Kac-Moody (super)algebras (structure and representation theory), Quantum groups and related algebraic methods
17B37, 17B67, 81R50
PDF(click to download): Quantum imaginary Verma modules for affine Lie algebras