Year: 2025
Type: preprint
Abstract: We study the space of multilinear invariants \( V_f \) of degree \( f \) for a specified finite unitary reflection group. A subspace \( W_f \) of typical invariants is also introduced. We note that the dimension of \( W_f \) is given by Catalan number. We explore both spaces for \( f \leq 5 \), noting that their dimensions differ based on the value of \( f \). We explicitly determine the bases for both spaces, and then we establish the relationship between the vectors of the two bases.
Source: arXiv (Cornell University)
Authors: Reza, A. K. M. Selim, Oura, Manabu, Kosuda, Masashi
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979282934
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