Casimir operators of the exceptional group G2
A.M. Bincer, K. Riesselmann
TL;DR
This paper explicitly computes the degree 2 and 6 Casimir operators for the exceptional Lie group G2 using its subalgebra A2, providing detailed algebraic expressions.
Contribution
It provides explicit formulas for G2 Casimir operators in terms of A2 generators, advancing understanding of G2's algebraic structure.
Findings
Explicit degree 2 and 6 Casimir operators derived
Formulas expressed in terms of A2 subalgebra generators
Enhances algebraic tools for studying G2 representations
Abstract
We calculate the degree 2 and 6 Casimirs operators in explicit form, with the generators of G2 written in terms of the subalgebra A2
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.