Young Wall Realization Of
نویسندگان
چکیده
We give a realization of crystal graphs for basic representations of the quantum affine algebra Uq(C (1) n ) using combinatorics of Young walls. The notion of splitting blocks plays a crucial role in the construction of crystal graphs.
منابع مشابه
Young Wall Realization of Crystal Bases for Classical Lie Algebras
In this paper, we give a new realization of crystal bases for finitedimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.
متن کامل0 O ct 2 00 3 GEOMETRIC AND COMBINATORIAL REALIZATIONS OF CRYSTAL GRAPHS
For irreducible integrable highest weight modules of the finite and affine Lie algebras of type A and D, we define an isomorphism between the geometric realization of the crystal graphs in terms of irreducible components of Nakajima quiver varieties and the combinatorial realizations in terms of Young tableaux and Young walls. For type A (1) n , we extend the Young wall construction to arbitrar...
متن کامل. R T ] 2 2 Ja n 20 05 GEOMETRIC AND COMBINATORIAL REALIZATIONS OF CRYSTAL GRAPHS
For irreducible integrable highest weight modules of the finite and affine Lie algebras of type A and D, we define an isomorphism between the geometric realization of the crystal graphs in terms of irreducible components of Nakajima quiver varieties and the combinatorial realizations in terms of Young tableaux and Young walls. For type A (1) n , we extend the Young wall construction to arbitrar...
متن کاملar X iv : m at h / 03 10 31 4 v 3 [ m at h . R T ] 1 9 A ug 2 00 4 GEOMETRIC AND COMBINATORIAL REALIZATIONS OF CRYSTAL GRAPHS
For irreducible integrable highest weight modules of the finite and affine Lie algebras of type A and D, we define an isomorphism between the geometric realization of the crystal graphs in terms of irreducible components of Nakajima quiver varieties and the combinatorial realizations in terms of Young tableaux and Young walls. For type A (1) n , we extend the Young wall construction to arbitrar...
متن کاملar X iv : m at h / 03 10 31 4 v 2 [ m at h . R T ] 1 6 N ov 2 00 3 GEOMETRIC AND COMBINATORIAL REALIZATIONS OF CRYSTAL GRAPHS
For irreducible integrable highest weight modules of the finite and affine Lie algebras of type A and D, we define an isomorphism between the geometric realization of the crystal graphs in terms of irreducible components of Nakajima quiver varieties and the combinatorial realizations in terms of Young tableaux and Young walls. For type A (1) n , we extend the Young wall construction to arbitrar...
متن کامل