10 citations · 12 across the 2 of their papers we have counts for
9 papers · 1 filter
A bijection between type D_n^{(1)} crystals and rigged configurations
Anne Schilling
Hatayama et al. conjectured fermionic formulas associated with tensor products of U'_q(g)-crystals B^{r,s}. The crystals B^{r,s} correspond to the Kirillov--Reshetikhin modules whi…
A crystal to rigged configuration bijection for nonexceptional affine algebras
Masato Okado, Anne Schilling, Mark Shimozono
Kerov, Kirillov, and Reshetikhin defined a bijection between highest weight vectors in the crystal graph of a tensor power of the vector representation, and combinatorial objects c…
A Tensor Product Theorem Related To Perfect Crystals
Masato Okado, Anne Schilling, Mark Shimozono
Kang et al. provided a path realization of the crystal graph of a highest weight module over a quantum affine algebra, as certain semi-infinite tensor products of a single perfect…
Virtual crystals and fermionic formulas of type , , and
Masato Okado, Anne Schilling, Mark Shimozono
We introduce ``virtual'' crystals of the affine types , and by naturally extending embeddings of crystals of types and into…
Crystal bases and q-identities
Masato Okado, Anne Schilling, Mark Shimozono
The relation of crystal bases with -identities is discussed, and some new results on crystals and -identities associated with the affine Lie algebra are presented…
A generalization of the q-Saalschutz sum and the Burge transform
A. Schilling, S. O. Warnaar
A generalization of the q-(Pfaff)-Saalschutz summation formula is proved. This implies a generalization of the Burge transform, resulting in an additional dimension of the ``Burge…