DOAJ Open Access 2011

Stable rigged configurations and Littlewood―Richardson tableaux

Masato Okado Reiho Sakamoto

Abstrak

For an affine algebra of nonexceptional type in the large rank we show the fermionic formula depends only on the attachment of the node 0 of the Dynkin diagram to the rest, and the fermionic formula of not type $A$ can be expressed as a sum of that of type $A$ with Littlewood–Richardson coefficients. Combining this result with theorems of Kirillov–Schilling–Shimozono and Lecouvey–Okado–Shimozono, we settle the $X=M$ conjecture under the large rank hypothesis.

Topik & Kata Kunci

Penulis (2)

M

Masato Okado

R

Reiho Sakamoto

Format Sitasi

Okado, M., Sakamoto, R. (2011). Stable rigged configurations and Littlewood―Richardson tableaux. https://doi.org/10.46298/dmtcs.2948

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2948
Informasi Jurnal
Tahun Terbit
2011
Sumber Database
DOAJ
DOI
10.46298/dmtcs.2948
Akses
Open Access ✓