Abstract
Let B(Λ) be a level ℓ highest weight crystal of the quantum affine algebra Uq(An(1)). We construct an explicit crystal isomorphism between the geometric realization B(Λ) of the crystal B(Λ) using quiver varieties and the path realization Pad(Λ) arising from the adjoint crystal Bad,ℓ of level ℓ.
Original language | English |
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Pages (from-to) | 4513-4539 |
Number of pages | 27 |
Journal | Communications in Algebra |
Volume | 40 |
Issue number | 12 |
DOIs | |
State | Published - 2012 |
Keywords
- Adjoint crystals
- Crystal graphs
- Quiver varieties