M. Okado

activity

19972002

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math.QA2001

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…

math.QA2001

Virtual crystals and fermionic formulas of type $D_{n + 1}^{(2)}$ , $A_{2 n}^{(2)}$ , and $C_{n}^{(1)}$

Masato Okado, Anne Schilling, Mark Shimozono

We introduce ``virtual'' crystals of the affine types $g = D_{n + 1}^{(2)}$ , $A_{2 n}^{(2)}$ and $C_{n}^{(1)}$ by naturally extending embeddings of crystals of types $B_{n}$ and $C_{n}$ into…

math.QA2001

Crystal bases and q-identities

Masato Okado, Anne Schilling, Mark Shimozono

The relation of crystal bases with $q$ -identities is discussed, and some new results on crystals and $q$ -identities associated with the affine Lie algebra $C_{n}^{(1)}$ are presented…

A Tensor Product Theorem Related To Perfect Crystals

Virtual crystals and fermionic formulas of type Dn+1(2)​, A2n(2)​, and Cn(1)​

Crystal bases and q-identities

Virtual crystals and fermionic formulas of type $D_{n + 1}^{(2)}$ , $A_{2 n}^{(2)}$ , and $C_{n}^{(1)}$