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Special modules over positively based algebras

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

We use the Perron-Frobenius Theorem to define, study and, in some sense, classify special simple modules over arbitrary finite dimensional positively based algebras. For group algebras of finite Weyl groups with respect to the Kazhdan-Lusztig basis, this agrees with Lusztig's notion of a special module introduced in [Lu1].

years

2024 1 2022 1

verdicts

UNVERDICTED 2

representative citing papers

Asymptotics in infinite monoidal categories

math.CT · 2024-04-15 · unverdicted · novelty 4.0

Formulas are discussed for the asymptotic growth rate of summands in tensor powers in monoidal categories with infinitely many indecomposables, using generalized Perron-Frobenius theory and random walk techniques.

citing papers explorer

Showing 2 of 2 citing papers.

  • Sandwich cellularity and a version of cell theory math.RT · 2022-06-14 · unverdicted · none · ref 30 · internal anchor

    Sandwich cellularity is presented as a version of cell theory for algebras and applied to Hecke algebras plus monoid and diagram algebras.

  • Asymptotics in infinite monoidal categories math.CT · 2024-04-15 · unverdicted · none · ref 9 · internal anchor

    Formulas are discussed for the asymptotic growth rate of summands in tensor powers in monoidal categories with infinitely many indecomposables, using generalized Perron-Frobenius theory and random walk techniques.