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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 269: Combinatorics Seminar
Sutanay Bhattacharya
UCSD
Hilbert Series of the type B Superspace Coinvariant Ring
Abstract:
The superspace ring of rank $n$ is defined as the tensor product of the polynomial ring over $n$ variables and the exterior product of $n$ additional variables. This carries an action of the symmetric group, as well as the hyperoctahedral group (the group of signed permutations). For each of these actions, we define the coinvariant ideal as the ideal generated by invariants under the action with vanishing constant term. We explore some results on bases and Hilbert series of the quotient rings cut out by these ideals.
February 4, 2025
2:00 PM
APM 7321
Research Areas
Combinatorics****************************
