GaugeEquivariantTransformer SupplementaryMaterials AnonymousAuthor(s) Affiliation Address email

Inpractice, the manifold isoften represented by triangle mesh: acollection ofvertices, edges and2 faces. B.1 ProofofTheorem110 Theorem1 (i) IfN is even, there is no such real representation ρN of SO(2) that satisfies Eqn.11 (9). Partition the matrix A>1A1 into a block matrix by exactly the same way that56 the block diagonal matrix is partitioned, then Eqn. Express the manifold equation asw = w g, then we have94 ψ(fw) = ψ(fw), as is shown by (i). Here, we provide the detailed process of computing solution basis of Eqn.(15) for allΘ CN.101 Firstly,weshowthatEqn.