论文标题
Frobenius Heisenberg类别的基础
Foundations of Frobenius Heisenberg categories
论文作者
论文摘要
我们描述了与对称分级的Frobenius代数相关的Frobenius Heisenberg类别的形态空间的基础，证明了几个开放猜想。我们的证明使用该类别的分类合并和广义的环流商。我们使用基础定理证明Frobenius Heisenberg类别的Karoubi信封的Grothendieck戒指恢复了与Frobenius代数相关的格子Heisenberg代数。
We describe bases for the morphism spaces of the Frobenius Heisenberg categories associated to a symmetric graded Frobenius algebra, proving several open conjectures. Our proof uses a categorical comultiplication and generalized cyclotomic quotients of the category. We use our basis theorem to prove that the Grothendieck ring of the Karoubi envelope of the Frobenius Heisenberg category recovers the lattice Heisenberg algebra associated to the Frobenius algebra.
