Rotational Symmetries in Polynomial Rings

8 Jan 2021  ·  Keith Conrad, Ambar N. Sengupta ·

We obtain results describing the behavior of the action of rotation generators on polynomials over a commutative ring. We also explore harmonic polynomials in a purely algebraic setting.

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Representation Theory Mathematical Physics Mathematical Physics Rings and Algebras 17B10, 42C05