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Geometric construction of crystal bases for quantum generalized Kac-Moody algebras |
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| Authors: | Seok-Jin Kang Masaki Kashiwara Olivier Schiffmann |
| Affiliation: | a Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, San 56-1 Sillim-dong, Gwanak-gu, Seoul 151-747, Republic of Korea b Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa, Sakyo-Ku, Kyoto 606-8502, Japan c Université Pierre et Marie Curie, Département de Mathématiques, 175 rue du Chevaleret, 75013 Paris, France |
| Abstract: | We provide a geometric realization of the crystal B(∞) for quantum generalized Kac-Moody algebras in terms of the irreducible components of certain Lagrangian subvarieties in the representation spaces of a quiver. |
| Keywords: | Crystal basis Quantum generalized Kac-Moody algebra Lagrangian construction |
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