Proves the conjectured V/L recursion for Macdonald's 7th variation Schur polynomials.
See alsohttp://www.cip.ifi.lmu.de/~grinberg/primes2015/ sols.pdffor a version that gets updated
4 Pith papers cite this work. Polarity classification is still indexing.
4
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Proves two determinant summation identities for t_α and uses them to obtain variants of the Pieri rule.
Sum of n- and m-homomorphisms is (n+m)-homomorphism; composition is nm-homomorphism, with combinatorial proofs.
The paper gives proofs of the trace Cayley-Hamilton theorem and related identities for matrices over commutative rings, with some proofs new even though the statements are known.
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The V/L recursion for Macdonald's 7th Variation Schur polynomials
Proves the conjectured V/L recursion for Macdonald's 7th variation Schur polynomials.
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The pre-Pieri rules
Proves two determinant summation identities for t_α and uses them to obtain variants of the Pieri rule.
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Compositions of $n$-homomorphisms
Sum of n- and m-homomorphisms is (n+m)-homomorphism; composition is nm-homomorphism, with combinatorial proofs.
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The trace Cayley-Hamilton theorem
The paper gives proofs of the trace Cayley-Hamilton theorem and related identities for matrices over commutative rings, with some proofs new even though the statements are known.