Geometric construction of crystal bases for quantum generalized Kac-Moody algebras

Details Geometric construction of crystal bases for quantum generalized Kac-Moody algebras Geometric construction of crystal bases for quantum generalized Kac-Moody algebras

2008-10-30

arxiv.org/abs/0810.5493v1

Mathematics

Quantum Algebra

24 pages

Scientific paper

We provide a geometric realization of the crystal $B(\infty)$ for quantum
generalized Kac-Moody algebras in terms of the irreducible components of
certain Lagrangian subvarieties in the representation spaces of a quiver.

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