Using Gram matrices and residues to generate symmetric functions Public Deposited
- Last Modified
- March 20, 2019
- Affiliation: College of Arts and Sciences, Department of Mathematics
- In this paper we argue for the use of a symmetric bilinear map S on Qn+1 as a means of producing and manipulating symmetric functions; using certain vectors of rational functions we can produce Schur functions. We define S as the determinant of a specific Gram matrix, whose elements are the result of an antisymmetric bilinear map on Q as well as a reversion map R on the same space. Ultimately, S allows us to derive an alternative construction of the Jacobi-Trudi identity (extending the identity to Schur functions) as well as a variant of the Cauchy identities.
- Date of publication
- May 2012
- Resource type
- Rights statement
- In Copyright
- ... in partial fulfillment of the requirements for the degree of Master of Science in the Department of Mathematics.
- Rimanyi, Richard
This work has no parents.
|Using Gram matrices and residues to generate symmetric functions||2019-04-10||Public||