A combinatorial proof of the Cayley-Hamilton theorem
β Scribed by Howard Straubing
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 600 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For the central elements of the universal enveloping algebra of the Lie algebra n named "the skew Capelli elements," a Cayley-Hamilton type formula is given. Its classical counterpart is an elementary formula for two alternating matrices. As a byproduct of the main result, the description of the ske
Let \(I\) be an ideal in the affine multi-variate polynomial ring \(\mathcal{A}=K\left[x_{1}, \ldots, x_{n}\right]\). Beginning with the work of Brownawell, there has been renewed interest in recent years in using the degrees of polynomials which generate \(I\) to bound the degree \(D\) such that: