10 citations · 12 across the 2 of their papers we have counts for
12 papers
Non-unitary minimal models, Bailey's lemma and N=1,2 superconformal algebras
Lipika Deka, Anne Schilling
Using the Bailey flow construction, we derive character identities for the N=1 superconformal models SM(p',2p+p') and SM(p',3p'-2p), and the N=2 superconformal model with central c…
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…
q-Supernomial coefficients: From riggings to ribbons
Anne Schilling
q-Supernomial coefficients are generalizations of the q-binomial coefficients. They can be defined as the coefficients of the Hall-Littlewood symmetric function in a product of the…
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…