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math.RT2019★ 1 cited
Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras
Young-Hun Kim, Se-jin Oh, Young-Tak Oh
We construct a (bi)cyclic sieving phenomenon on the union of dominant maximal weights for level highest weight modules over an affine Kac-Moody algebra with exactly one high…
math.CO2019
Crystals, semistandard tableaux and cyclic sieving phenomenon
Young-Tak Oh, Euiyong Park
In this paper, we study a new cyclic sieving phenomenon on the set of semistandard Young tableaux with the cyclic action arising from its $U_q(\mat…