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Reference.org
Symbolic method
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<p> In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the symbolic method in <a href="/facts/Invariant_theory/5fIUh9h3">invariant theory</a> is an <a href="/facts/Algorithm/fnl5NmRt">algorithm</a> developed by <a href="/facts/Arthur_Cayley/NBd7QkeE">Arthur Cayley</a>, <a href="/facts/Siegfried_Heinrich_Aronhold/WkkelAGL">Siegfried Heinrich Aronhold</a>, <a href="/facts/Alfred_Clebsch/NV4IyEAk">Alfred Clebsch</a>, and <a href="/facts/Paul_Gordan/1QqtShjd">Paul Gordan</a> in the 19th century for computing <a href="/facts/Invariant_(mathematics)/9TeNN2ed">invariants</a> of <a href="/facts/Algebraic_form/WUHL7Kct">algebraic forms</a>. It is based on treating the form as if it were a power of a degree one form, which corresponds to embedding a symmetric power of a vector space into the symmetric elements of a <a href="/facts/Tensor_product/7K3pR1ap">tensor product</a> of copies of it. </p>