Kai Meng Tan

activity

20052007

most citedParities of v-decomposition numbers and an application to symmetric group algebras

5 citations · 6 across the 3 of their papers we have counts for

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math.RT2007

Weight 2 blocks of general linear groups and modular Alvis-Curtis duality

Sibylle Schroll, Kai Meng Tan

We obtain the structure of weight 2 blocks and [2:1]-pairs of q-Schur algebras, and compute explicitly the modular Alvis-Curtis duality for weight 2 blocks of finite general linear…

math.RT2006★ 5 cited

Parities of v-decomposition numbers and an application to symmetric group algebras

Kai Meng Tan

We prove that the v-decomposition number $d_{λ μ} (v)$ is an even or odd polynomial according to whether the partitions $λ$ and $μ$ have the same relative sign (or parity) or not. We…

math.RT2005★ 1 cited

Beyond Rouquier partitions

Kai Meng Tan

We obtain closed formulas, in terms of Littlewood-Richardson coefficients, for the canonical basis elements of the Fock space representation of $U_{v} (sl^_{e})$ which a…