𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Quantum Frobenius Map for General Linear Groups

✍ Scribed by Edward S. Letzter

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
201 KB
Volume
179
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

For the quantum function algebras O O M and O O GL , at lth roots of unity q n q n

when l is odd, the image under the q-analog of the Frobenius morphism charac-Ε½ . terizes each prime and primitive ideal uniquely up to automorphisms obtained from row and column multiplication of the standard generators X by powers i j of q.

πŸ“œ SIMILAR VOLUMES

On the Number of Homomorphisms from a Fi
On the Number of Homomorphisms from a Finite Group to a General Linear Group
✍ Naoki Chigira; Yugen Takegahara; Tomoyuki Yoshida πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 144 KB

We study the number of homomorphisms from a finite group to a general linear group over a finite field. In particular, we give a generating function of such numbers. Then the Rogers-Ramanujan identities are applicable.

On the Number of Generators and Composit
On the Number of Generators and Composition Length of Finite Linear Groups
✍ A Lucchini; F Menegazzo; M Morigi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 151 KB

In 1991 Dixon and Kovacs 8 showed that for each field K which has finite degree over its prime subfield there is a number d such that every K finite nilpotent irreducible linear group of degree n G 2 over K can be w x wx ' generated by d nr log n elements. Afterwards Bryant et al. 3 proved K ' d G F

The coarea formula for real-valued Lipsc
The coarea formula for real-valued Lipschitz maps on stratified groups
✍ Valentino Magnani πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 274 KB

## Abstract We establish a coarea formula for real‐valued Lipschitz maps on stratified groups when the domain is endowed with a homogeneous distance and level sets are measured by the __Q__ – 1 dimensional spherical Hausdorff measure. The number __Q__ is the Hausdorff dimension of the group with re

Minimal geodesics on groups of volume-pr
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
✍ Yann Brenier πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 454 KB πŸ‘ 2 views

The three-dimensional motion of an incompressible inviscid fluid is classically described by the Euler equations but can also be seen, following Arnold [1], as a geodesic on a group of volume-preserving maps. Local existence and uniqueness of minimal geodesics have been established by Ebin and Marsd