Lefschetz theory for exterior algebras and fermionic diagonal coinvariants

25 Mar 2020 Kim Jongwon Rhoades Brendon

Let $W$ be an irreducible complex reflection group acting on its reflection representation $V$. We consider the doubly graded action of $W$ on the exterior algebra $\wedge (V \oplus V^*)$ as well as its quotient $DR_W := \wedge (V \oplus V^*)/ \langle \wedge (V \oplus V^*)^{W}_+ \rangle$ by the ideal generated by its homogeneous $W$-invariants with vanishing constant term... (read more)

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  • COMBINATORICS
  • REPRESENTATION THEORY