[Submitted on 5 May 2026 (v1), last revised 17 Jun 2026 (this version, v2)]

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Abstract:We define and study two new classes of algebras, called higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras. They depend on a Frobenius superalgebra and are defined, respectively, as path algebras of the higher-level affine wreath product category and higher-level affine Frobenius Hecke category. Our constructions produce a broad range of new higher-level algebras under a unified framework. Special cases include higher-level analogues of the degenerate affine Hecke algebra and affine Sergeev algebras, both of which appear to be new.

Submission history

From: Thomas Moran [view email]
[v1] Tue, 5 May 2026 21:10:04 UTC (40 KB)
[v2] Wed, 17 Jun 2026 16:52:06 UTC (38 KB)

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