On isotypies between Galois conjugate blocks
Radha Kessar
TL;DR
This paper proves that for any pair of Galois conjugate blocks of finite group algebras, there exists an isotypy with all signs positive, revealing a structural connection between these blocks.
Contribution
It establishes the existence of positive isotypies between Galois conjugate blocks, a new insight into their structural relationship.
Findings
Existence of positive isotypies between Galois conjugate blocks
Structural connection between Galois conjugate blocks
Advances understanding of block relationships in finite group algebras
Abstract
We show that between any pair of Galois conjugate blocks of finite group algebras, there exists an isotypy with all signs positive.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Commutative Algebra and Its Applications