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A Quantum Deformation of Invariants of Higher Binary Forms

✍ Scribed by Frank Leitenberger

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
279 KB
Volume
222
Category
Article
ISSN
0021-8693

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✦ Synopsis

We use the theory of the quantum group U q gl 2 to develop a quantum theory of invariants and show a decomposition of invariants into a Gordan-Capelli series. Higher binary forms are introduced on the basis of braided algebras. We define quantised invariants and give basic examples. We show that the symbolic method of Clebsch and Gordan works also in the quantised case. We discuss the deformed discriminant of the quadratic and the cubic form, the deformed invariants I 1 , I 2 of the quartic form and further invariants without a classical analog.

πŸ“œ SIMILAR VOLUMES

A Classification of Non-Degenerated Bina
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✍ Bernd Martin πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 294 KB

## Abstract There is given a representation of the equivalence classes of non‐degenerated binary forms of degree d as quotient of an affine open subset of (d – 3)‐dimensional affine space by the d‐th symmetric group.