𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multiparameter Quantum Matrices over Skew Fields

✍ Scribed by Bernd Strüber

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
254 KB
Volume
208
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that multiparameter quantum matrices over a skew field can be reduced by applying elementary row and column operations, each of which preserve the quantum relations. From this, we derive a new, axiomatic description of the quantum determinant, which coincides with the classical approach to commutative determinants. The Bruhat normal form of quantum matrices is given in terms of quantum principal minors.

📜 SIMILAR VOLUMES

Factoring in Skew-polynomial Rings over
Factoring in Skew-polynomial Rings over Finite Fields
✍ M. Giesbrecht 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 716 KB

Efficient algorithms are presented for factoring polynomials in the skew-polynomial ring F[x; σ], a non-commutative generalization of the usual ring of polynomials F[x], where F is a finite field and σ: F → F is an automorphism (iterated Frobenius map). Applications include fast functional decomposi

Scale Functions on Linear Groups Over Lo
Scale Functions on Linear Groups Over Local Skew Fields
✍ Helge Glöckner 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 226 KB

Let G be a general or special linear group over a local skew field. Then G is a Ž totally disconnected, locally compact group, to which G. Willis Math. Ann. 300, . 1994, 341᎐363 associates its scale function s : G ª ‫.ގ‬ We compute s on the subset of diagonalizable matrices. We also consider the pro