Taro Sakurai

activity

20162026

most citedThe isomorphism problem for group algebras: a criterion

13 citations · 42 across the 16 of their papers we have counts for

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Showing 2026Show all

4 papers · 1 filter

math.RT2026

Reciprocity for projective and injective direct summands

Shigeo Koshitani, Taro Sakurai

A reciprocity between multiplicities of projective direct summands for modular group algebras has been known for decades. Recently, the first author extended it to finite-dimension…

math.RA2026

Tensor factorization of local algebras

Taro Sakurai

Let $A$ be a finite-dimensional local algebra over a splitting field. We prove that an irreducible tensor factorization $A ≅ P_{1} \otimes \dots \otimes P_{n}$ of the algebra $A$ …

math.GR2026

Elementary divisors of the Cartan matrix for partial characters

Kaveh Dastouri, Taro Sakurai

Let $π$ be a set of primes and let $G$ be a finite $π$ -separable group. We prove that the Cartan matrix $C$ for the $π$ -partial characters of $G$ is equivalent over the integers to…

math.GR2026

Geometric approach to the modular isomorphism problem: groups of order 64

Leo Margolis, Taro Sakurai

We introduce a procedure based on computational algebraic geometry to determine whether two algebras are isomorphic. We then apply it to show that if $R$ is a commutative unital ri…