On the invariant theory of the Bezoutiant
| dc.creator | Chipalkatti, Jaydeep V. | |
| dc.date | 2004-06-21 | |
| dc.date.accessioned | 2026-07-07T05:09:26Z | |
| dc.date.available | 2026-07-07T05:09:26Z | |
| dc.description | We study the classical invariant theory of the Bezoutiant R(A,B) of a pair of binary forms A,B. It is shown that R(A,B) admits a Taylor expansion whose coefficients are (essentially) the odd transvectants (A,B)_{2r+1}. Moreover, R(A,B) is entirely determined by the first two terms M = (A,B)_1, N =(A,B)_3. Using the Plucker relations, we give equivariant formulae which express the higher transvectants (A,B)_5, (A,B)_7 in terms of M,N. We also describe a `reduction formula' which calculates B from the knowledge of A and R(A,B). | |
| dc.description | LaTeX, 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406410 | |
| dc.identifier | http://arxiv.org/abs/math/0406410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71626 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 13A50 | |
| dc.title | On the invariant theory of the Bezoutiant | |
| dc.type | text |