arXiv Open Access 2020

Representation dimensions linked by Frobenius bimodules with applications to group algebras

Changchang Xi

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Abstrak

We establish relations between representation dimensions of two algebras connected by a Frobenius bimodule or extension. Consequently, upper bounds and equality formulas for representation dimensions of group algebras, symmetric separably equivalent algebras and crossed products are obtained. Particularly, for any subgroup H of a finite group G, if [G:H] is invertible in a field, then the representation dimensions of the group algebras of G and H over the field are the same.

Topik & Kata Kunci

math.RT math.GR math.RA

Penulis (1)

Changchang Xi

Format Sitasi

APA MLA BibTeX

Xi, C. (2020). Representation dimensions linked by Frobenius bimodules with applications to group algebras. https://arxiv.org/abs/2007.00139

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓