Séminaire Lotharingien de Combinatoire, 85B.55 (2021), 12 pp.

Jongwon Kim and Brendon Rhoades

Fermionic Diagonal Coinvariants and Exterior Lefschetz Elements

Abstract. Let W be a complex reflection group acting irreducibly on its reflection representation V. The group W acts diagonally on the exterior algebra ∧ (V ⊕ V^*) over the direct sum of V with its dual space V^*. We study the W-fermionic diagonal coinvariant ring FDR_W obtained by quotienting ∧ (V ⊕ V^*) by the ideal generated by W-invariants with vanishing constant term.

Received: December 1, 2020. Accepted: March 1, 2021. Final version: April 29, 2021.

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