arXiv subjects

Manzu Kua

Publications and source records attributed to Manzu Kua.

2 recordsLinked to original sources

arXiv2026

Tensor Powers of Indecomposable Modules for $F\mathfrak{S}_p$

In the earlier paper arXiv:2603.11533, the authors gave an explicit tensor product formula, modulo projectives, for modules over the group algebra $F\mathfrak{S}_p$. In this paper, we use this formula to study tensor powers of such modules. In certain cases, we give combinatorial descriptions of the multiplicities of the indecomposable summands appearing in their direct-sum decompositions. We also study the asymptotic behaviour of these multiplicities as the underlying prime tends to infinity.

math.RT↗

arXiv2026

Tensor Product and the Stable Green Ring of the Symmetric Group Algebra $F\mathfrak{S}_p$

We give an explicit formula for the decomposition of the tensor product of any two indecomposable non-projective modules for the symmetric group algebra $F \mathfrak{S}_p$ modulo projective modules. In particular, we show that the tensor product of two simple modules is semisimple modulo projectives. We also compute the Benson--Symonds invariants for all such indecomposable non-projective modules.

math.RT↗